332354 + Interview Questions in Secondary School in Math

1.	13. The value of 60॰×70॰×80॰is (a) 0 (b) 1 (c) 3 (d) None of thes
Answer» (B) 1 is the CORRECT OPTION

1.

13. The value of 60॰×70॰×80॰is (a) 0 (b) 1 (c) 3 (d) None of thes

Answer»

(B) 1

is the CORRECT OPTION

Discussion

2.	Please l will make you brainlieat
Answer» Step-by-step explanation: GIVEN, $6 \div 3 \sqrt{2} - 2 \sqrt{3} = 3 \sqrt{2} - a \sqrt{3}$ To FIND: the VALUE of $a$ SOLUTION: $6 \div 3 \sqrt{2} - 2 \sqrt{3} = 3 \sqrt{2} - a \sqrt{3}$ $6 = 3 \sqrt{2} - a \sqrt{3} \times 3 \sqrt{2} - 2 \sqrt{3} = 6 = 9( { \sqrt{2)} }^{2} - 6 \sqrt{5} - 3a \sqrt{5} - 2a( { \sqrt{3)} }^{2} = 6 = 18 - 6 \sqrt{5} - 3a \sqrt{5} - 6a = 6 = 18 - 11a \sqrt{5} - 6a = 6 = 18 - 17a \sqrt{5} =$ $18 - 17a \sqrt{5} = 6 - 18$ $17a \sqrt{5} = 6 - 18 = 17a \sqrt{5} = - 12$ $a \sqrt{5} = - 12 \div - 17$ $a = - 12 \div - 17 \div \sqrt{5} = a = - 12 \div 1 \times \sqrt{5} \div - 17 = a = - 12 \sqrt{5} \div - 17$ Answer: -12_/5/-17

2.

Please l will make you brainlieat

Answer»

Step-by-step explanation:

GIVEN,

$6 \div 3 \sqrt{2} - 2 \sqrt{3} = 3 \sqrt{2} - a \sqrt{3}$

SOLUTION:

$6 \div 3 \sqrt{2} - 2 \sqrt{3} = 3 \sqrt{2} - a \sqrt{3}$

$6 = 3 \sqrt{2} - a \sqrt{3} \times 3 \sqrt{2} - 2 \sqrt{3} = 6 = 9( { \sqrt{2)} }^{2} - 6 \sqrt{5} - 3a \sqrt{5} - 2a( { \sqrt{3)} }^{2} = 6 = 18 - 6 \sqrt{5} - 3a \sqrt{5} - 6a = 6 = 18 - 11a \sqrt{5} - 6a = 6 = 18 - 17a \sqrt{5} =$

$18 - 17a \sqrt{5} = 6 - 18$

$17a \sqrt{5} = 6 - 18 = 17a \sqrt{5} = - 12$

$a \sqrt{5} = - 12 \div - 17$

$a = - 12 \div - 17 \div \sqrt{5} = a = - 12 \div 1 \times \sqrt{5} \div - 17 = a = - 12 \sqrt{5} \div - 17$

Answer:

-12_/5/-17

Discussion

3.	2.5 Find the value of : sin’35° + sin 55°
Answer» ANSWER: ueufhhrhruryrru urururuurudud Step-by-step EXPLANATION: ujjsjdjddhkskdjfjdfjdjdjdhdjdjdhejrjdjdjrhrhehehehhwhwywyeyeysyeyrudhhdjejdskwkwkkwjwjwkwkwkwk

3.

2.5 Find the value of : sin’35° + sin 55°

Answer»

ANSWER:

ueufhhrhruryrru urururuurudud

Step-by-step EXPLANATION:

ujjsjdjddhkskdjfjdfjdjdjdhdjdjdhejrjdjdjrhrhehehehhwhwywyeyeysyeyrudhhdjejdskwkwkkwjwjwkwkwkwk

Discussion

4.	Draw a rectangle and represented the 3/5
Answer» Step-by-step explanation: SORRY i don't know siso plz FORGIVE me siso and thank U for points

4.

Draw a rectangle and represented the 3/5

Answer»

Step-by-step explanation:

SORRY i don't know siso

plz FORGIVE me siso

and thank U for points

Discussion

5.	34. In a building there are 25 cylindrical pillars. The radius of each pillar is 50 cmand height 5 m. Find the cost of painting curved surface area of pillars at therate of * 70 per sq. m.
Answer» Answer: Rs 27500 Step-by-step EXPLANATION: Radius of 1 PILLAR = 50cm = 0.5 m CURVED surface of 1 pillar is 2πrh = 2 x (22/7) x (0.5) x 5 m² = 110/7 m² ∴ Curved surface area of 25 such pillars 25 x 110/7 m² = 2750/7 m² Cost of painting = rate x area = Rs 70 x (2750/7) = Rs 27500

5.

34. In a building there are 25 cylindrical pillars. The radius of each pillar is 50 cmand height 5 m. Find the cost of painting curved surface area of pillars at therate of * 70 per sq. m.

Answer»

Answer:

Rs 27500

Step-by-step EXPLANATION:

Radius of 1 PILLAR = 50cm = 0.5 m

CURVED surface of 1 pillar is 2πrh

= 2 x (22/7) x (0.5) x 5 m²

= 110/7 m²

∴ Curved surface area of 25 such pillars 25 x 110/7 m² = 2750/7 m²

Cost of painting = rate x area

= Rs 70 x (2750/7)

= Rs 27500

Discussion

6.	Unreal or hypothetical conditionals
Answer» ANSWER: Definition of The Unreal CONDITIONALS: These conditionals refer to hypothetical conditions which have no probability to happen in the past, present or future but express what could/ might have happened. the open hypothetical conditional statement: This REFERS to a POSSIBLE future situation which depends on on another possible future situation. The verb of the main clause uses the present conditional tense (would + infinitive, or could +infinitive); Difference between unreal and hypothetical conditionals In traditional grammar, a sentence with a conditional clause with a true situation is a real conditional, and an untrue situation is an unreal condition, a hypothetical condition or an IMAGINARY present, past or future.

6.

Unreal or hypothetical conditionals

Answer»

ANSWER:

Definition of The Unreal CONDITIONALS:

These conditionals refer to hypothetical conditions which have no probability to happen in the past, present or future but express what could/ might have happened.

the open hypothetical conditional statement: This REFERS to a POSSIBLE future situation which depends on on another possible future situation. The verb of the main clause uses the present conditional tense (would + infinitive, or could +infinitive);

Difference between unreal and hypothetical conditionals

In traditional grammar, a sentence with a conditional clause with a true situation is a real conditional, and an untrue situation is an unreal condition, a hypothetical condition or an IMAGINARY present, past or future.

Discussion

7.	Express the following number in standard form :3,84,00,00,000
Answer» ANSWER: HII I'm TIRED and don't FEEL LIKE doing it

7.

Express the following number in standard form :3,84,00,00,000

Answer»

ANSWER:

HII I'm TIRED and don't FEEL LIKE doing it

Discussion

8.	1. LOGARITHM. formula
Answer» ANSWER: LOGARITHMIC FORMULAS HOPE this is HELPFUL

8.

1. LOGARITHM. formula

Answer»

ANSWER:

LOGARITHMIC FORMULAS

HOPE this is HELPFUL

Discussion

9.	Prove that cos theta-sin theta+1/ sin theta+cos theta-1 = 1 / cosec theta-cot theta
Answer» Step-by-step explanation: cosθ−sinθ+1 /* Divide NUMERATOR and DENOMINATOR by sin\thetasinθ we get, =\frac{\frac{1}{sin\theta}(cos\theta-sin\theta+1)}{\frac{1}{sin\theta}(cos\theta+sin\theta-1)}= sinθ 1 (cosθ+sinθ−1) sinθ 1 (cosθ−sinθ+1) =\frac{(cot\theta-1+cosec\theta)}{(cot\theta+1-cosec\theta)}= (cotθ+1−cosecθ) (cotθ−1+cosecθ) =\frac{(cot\theta+cosec\theta-1)}{(cot\theta+1-cosec\theta)}= (cotθ+1−cosecθ) (cotθ+cosecθ−1) =\frac{(cot\theta+cosec\theta)-(cosec^{2}\theta-cot^{2}\theta)}{(cot\theta+1-cosec\theta)}= (cotθ+1−cosecθ) (cotθ+cosecθ)−(cosec 2 θ−cot 2 θ) /* Since, By TRIGONOMETRIC IDENTITY: cosec²A-cot²A = 1 / =\frac{(cot\theta+cosec\theta)-(cosc\theta-cot\theta)(cosec\theta+cot\theta)}{cot\theta-cosec\theta+1}= cotθ−cosecθ+1 (cotθ+cosecθ)−(coscθ−cotθ)(cosecθ+cotθ) / By algebraic identity: a²-b² = (a+b)(a-b) */ =\frac{(cosec\theta+cot\theta)[1-(cosec\theta-cot\theta)]}{(1-cosec\theta+cot\theta)}= (1−cosecθ+cotθ) (cosecθ+cotθ)[1−(cosecθ−cotθ)] =\frac{(cosec\theta+cot\theta)(1-cosec\theta+cot\theta)}{(1-cosec\theta+cot\theta)}= (1−cosecθ+cotθ) (cosecθ+cotθ)(1−cosecθ+cotθ) =cosec\theta+cot\theta=cosecθ+cotθ =RHS=RHS Therefore, \frac{cos\theta-sin\theta+1}{cos\theta+sin\theta-1}=cosec\theta+cot\theta cosθ+sinθ−1 cosθ−sinθ+1 =cosecθ+cotθ

9.

Prove that cos theta-sin theta+1/ sin theta+cos theta-1 = 1 / cosec theta-cot theta

Answer»

Step-by-step explanation:

cosθ−sinθ+1

/* Divide NUMERATOR and DENOMINATOR by sin\thetasinθ we get,

=\frac{\frac{1}{sin\theta}(cos\theta-sin\theta+1)}{\frac{1}{sin\theta}(cos\theta+sin\theta-1)}=

sinθ

1

(cosθ+sinθ−1)

sinθ

1

(cosθ−sinθ+1)

=\frac{(cot\theta-1+cosec\theta)}{(cot\theta+1-cosec\theta)}=

(cotθ+1−cosecθ)

(cotθ−1+cosecθ)

=\frac{(cot\theta+cosec\theta-1)}{(cot\theta+1-cosec\theta)}=

(cotθ+1−cosecθ)

(cotθ+cosecθ−1)

=\frac{(cot\theta+cosec\theta)-(cosec^{2}\theta-cot^{2}\theta)}{(cot\theta+1-cosec\theta)}=

(cotθ+1−cosecθ)

(cotθ+cosecθ)−(cosec

2

θ−cot

2

θ)

/* Since, By TRIGONOMETRIC IDENTITY:

cosec²A-cot²A = 1 */

=\frac{(cot\theta+cosec\theta)-(cosc\theta-cot\theta)(cosec\theta+cot\theta)}{cot\theta-cosec\theta+1}=

cotθ−cosecθ+1

(cotθ+cosecθ)−(coscθ−cotθ)(cosecθ+cotθ)

/* By algebraic identity:

a²-b² = (a+b)(a-b) */

=\frac{(cosec\theta+cot\theta)[1-(cosec\theta-cot\theta)]}{(1-cosec\theta+cot\theta)}=

(1−cosecθ+cotθ)

(cosecθ+cotθ)[1−(cosecθ−cotθ)]

=\frac{(cosec\theta+cot\theta)(1-cosec\theta+cot\theta)}{(1-cosec\theta+cot\theta)}=

(1−cosecθ+cotθ)

(cosecθ+cotθ)(1−cosecθ+cotθ)

=cosec\theta+cot\theta=cosecθ+cotθ

=RHS=RHS

Therefore,

\frac{cos\theta-sin\theta+1}{cos\theta+sin\theta-1}=cosec\theta+cot\theta

cosθ+sinθ−1

cosθ−sinθ+1

=cosecθ+cotθ

Discussion

10.	33. एक निश्चित आयत का परिमाप 76 और क्षेत्रफल 360 है,तो इसके सबसे छोटी भुजा की लम्बाई क्या है:(A) 12(C) 18(B) 20(D) 36
Answer» 36 UR answer maybe NHI to ..G..oo..gle

Discussion

11.	A farmer has 36 individual lengths of fence. Each is I m long.What is the smallest are that can be enclosed using all 36 fences?What is the largest area that can be enclosed using all 36 fences?
Answer» ANSWER: There are 36 isosceles triangles each of base 1 m , r is the length of the TWO remaining sides Cosine rule : 1^2 = r^2 +r^2 -2r^2 COS (10) = 2r^2(1-cos (10)) r^2 = 1/[2(1-cos (10)] , Eq1 Now area of ∆ = (1/2) r^2 SIN (10). sub in Eq1 for r^2 A(∆) = sin(10)/ [(1/4)(1-cos(10)] area of 36 ∆ = 9 sin(10)/ (1-cos (10)) =102.87 m^2 The area of the disc of radius r ,would have been A = πr^2 = π/[2(1-cos (10)] = 103.4 m^2 Area of the 36 sectors = 103.4 - 102.87 = 0.523 m^2

11.

A farmer has 36 individual lengths of fence. Each is I m long.What is the smallest are that can be enclosed using all 36 fences?What is the largest area that can be enclosed using all 36 fences?

Answer»

ANSWER:

There are 36 isosceles triangles each of base 1 m ,

r is the length of the TWO remaining sides

Cosine rule : 1^2 = r^2 +r^2 -2r^2 COS (10) = 2r^2(1-cos (10))

r^2 = 1/[2(1-cos (10)] , Eq1

Now area of ∆ = (1/2) r^2 SIN (10). sub in Eq1 for r^2

A(∆) = sin(10)/ [(1/4)(1-cos(10)]

area of 36 ∆ = 9 sin(10)/ (1-cos (10))

=102.87 m^2

The area of the disc of radius r ,would have been

A = πr^2 = π/[2(1-cos (10)] = 103.4 m^2

Area of the 36 sectors = 103.4 - 102.87 = 0.523 m^2

Discussion

12.	Find the volume and curved surface area of the cuboid whose dimensions are 22cmx 12cm x 7.5cm.
Answer» Answer: In physics, a force is any interaction that, when UNOPPOSED, will change the motion of an OBJECT. A force can cause an object with mass to change its velocity (which includes to begin moving from a STATE of rest), i.e., to accelerate. Force can also be described INTUITIVELY as a push or a pull. A force has both MAGNITUDE and direction, making it a vector quantity. It is measured in the SI unit of newtons and represented by the symbol F.

12.

Find the volume and curved surface area of the cuboid whose dimensions are 22cmx 12cm x 7.5cm.

Answer»

Answer:

In physics, a force is any interaction that, when UNOPPOSED, will change the motion of an OBJECT. A force can cause an object with mass to change its velocity (which includes to begin moving from a STATE of rest), i.e., to accelerate. Force can also be described INTUITIVELY as a push or a pull. A force has both MAGNITUDE and direction, making it a vector quantity. It is measured in the SI unit of newtons and represented by the symbol F.

Discussion

13.	FnEvaluate theBy changing order of interyention,followingoAM a 6ny dadyAISA810Y=0Yx=0
Answer» ANSWER: GOOD QUE... I WILL EXPLAIN LATET

13.

FnEvaluate theBy changing order of interyention,followingoAM a 6ny dadyAISA810Y=0Yx=0

Answer»

ANSWER:

GOOD QUE... I WILL EXPLAIN LATET

Discussion

14.	Given below is a circle with centre O and DE is an arc of a circle with centre B. If BC=1 cm and BE=5√ cm, what is the length of OB?Real answer please, It's really important. Ill mark you as brainiest if you do.
Answer» ANSWER: these is your answer what i GET on INTERNET

14.

Given below is a circle with centre O and DE is an arc of a circle with centre B. If BC=1 cm and BE=5√ cm, what is the length of OB?Real answer please, It's really important. Ill mark you as brainiest if you do.

Answer»

ANSWER:

these is your answer what i GET on INTERNET

Discussion

15.	Find area of triangle base=4cm height=6cmplease explain with steps in photo
Answer» Solution:- ━━━━━━━━━━━━━━━━━━━━━━━━━━ $\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$ $\dashrightarrow$ Here, the question has given us the base of a TRIANGLE that is 4 cm and also the height of the triangle that is 6 cm. Now, the question has asked us to find the area of a triangle. So, to find the area of the triangle we simply need to apply it's formula and we will get our answer. ANSWER:- ☯ Area of the triangle is 12 cm². GIVEN:- ⟶ Base of the triangle = 4 cm ⟶ Height of the triangle = 6 cm TO FIND:- » Area of the triangle = ? FORMULA:- ${\bf{\leadsto{Area \: of \: triangle = \dfrac{1}{2} \times b \times h}}}$ SOLVING BY APPLYING THE FORMULA:- $\to\sf{Area = \dfrac{1}{2} \times 4 \: cm \times 6\: cm}$ $\to\sf{Area = \dfrac{1}{2} \times 24\: {cm}^{2}}$ $\to\sf{Area = \dfrac{1 \times 24}{2}\: {cm}^{2} }$ $\to\sf{Area = \dfrac{24}{2}\: {cm}^{2} }$ $\to\sf{Area = \dfrac{ \not{24}}{ \not{2}}\ {cm}^{2}}$ $\to\sf{Area = 12\: {cm}^{2} }$ Thus, we got the answer. The area of the triangle is 12 cm². ━━━━━━━━━━━━━━━━━━━━━━━━━━

15.

Find area of triangle base=4cm height=6cmplease explain with steps in photo

Answer»

Solution:-

━━━━━━━━━━━━━━━━━━━━━━━━━━

$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\dashrightarrow$ Here, the question has given us the base of a TRIANGLE that is 4 cm and also the height of the triangle that is 6 cm. Now, the question has asked us to find the area of a triangle. So, to find the area of the triangle we simply need to apply it's formula and we will get our answer.

ANSWER:-

☯ Area of the triangle is 12 cm².

GIVEN:-

⟶ Base of the triangle = 4 cm

⟶ Height of the triangle = 6 cm

TO FIND:-

» Area of the triangle = ?

FORMULA:-

${\bf{\leadsto{Area \: of \: triangle = \dfrac{1}{2} \times b \times h}}}$

SOLVING BY APPLYING THE FORMULA:-

$\to\sf{Area = \dfrac{1}{2} \times 4 \: cm \times 6\: cm}$

$\to\sf{Area = \dfrac{1}{2} \times 24\: {cm}^{2}}$

$\to\sf{Area = \dfrac{1 \times 24}{2}\: {cm}^{2} }$

$\to\sf{Area = \dfrac{24}{2}\: {cm}^{2} }$

$\to\sf{Area = \dfrac{ \not{24}}{ \not{2}}\ {cm}^{2}}$

$\to\sf{Area = 12\: {cm}^{2} }$

Thus, we got the answer. The area of the triangle is 12 cm².

━━━━━━━━━━━━━━━━━━━━━━━━━━

Discussion

16.	Αηүвσ∂ү jíndααα????dєfínє αtmσѕphєrє!
Answer» An atmosphere is a layer or a set of layers of GASES surrounding a planet or other MATERIAL body, that is held in place by the gravity of that body. An atmosphere is more likely to be retained if the gravity it is subject to is high and the temperature of the atmosphere is low. baaki KA nhi pata per Mai to jinda nhi HU xD

16.

Αηүвσ∂ү jíndααα????dєfínє αtmσѕphєrє!

Answer»

An atmosphere is a layer or a set of layers of GASES surrounding a planet or other MATERIAL body, that is held in place by the gravity of that body. An atmosphere is more likely to be retained if the gravity it is subject to is high and the temperature of the atmosphere is low.

baaki KA nhi pata per Mai to jinda nhi HU xD

Discussion

17.	Add 24 minutes 35 seconds and 25 minutes 45 seconds
Answer» ANSWER: the ANS is 49.8 MEANS 48min and 8 SECOND

17.

Add 24 minutes 35 seconds and 25 minutes 45 seconds

Answer»

ANSWER:

the ANS is 49.8 MEANS 48min and 8 SECOND

Discussion

18.	Write the equation of line parallel to x- axis and 7 units above it.
Answer» Answer: WRITE the equation of line PARALLEL to X-

18.

Write the equation of line parallel to x- axis and 7 units above it.

Answer»

Answer:

WRITE the equation of line PARALLEL to X-

Discussion

19.	1. A solution is prepared by mixing benzene andtoluene in such a way that mole fraction of tolueneis 0.5. What is the mass percentage of solution w.r.t.benzene.
Answer» ANSWER: the mole fraction of benzene is a solution with TOLUENE is 0.50. calculate the WEIGHT percent of benzene in the solution? So, each mole of the solution will have 0.5 MOLES of benzene and 0.5 moles of toluene. 41.48%

19.

1. A solution is prepared by mixing benzene andtoluene in such a way that mole fraction of tolueneis 0.5. What is the mass percentage of solution w.r.t.benzene.

Answer»

ANSWER:

the mole fraction of benzene is a solution with TOLUENE is 0.50. calculate the WEIGHT percent of benzene in the solution? So, each mole of the solution will have 0.5 MOLES of benzene and 0.5 moles of toluene. 41.48%

Discussion

20.	Write any one quadratic equation using x as a variable
Answer» ANSWER: A QUADRATIC EQUATION is of the FORM ax²+bx+c=0 where a≠0. Eg- 2x²+4x+2=0

20.

Write any one quadratic equation using x as a variable

Answer»

ANSWER:

A QUADRATIC EQUATION is of the FORM ax²+bx+c=0 where a≠0.

Eg- 2x²+4x+2=0

Discussion

21.	নীচের প্রতিটি ক্ষেত্রে n-এর মান নির্ণয় করাে:(i) যদি "ca-2 = 21 হয়;
Answer» ANSWER: Nnwj Step-by-step EXPLANATION: I cannot UNDERSTAND LANGUAGE

21.

নীচের প্রতিটি ক্ষেত্রে n-এর মান নির্ণয় করাে:(i) যদি "ca-2 = 21 হয়;

Answer»

ANSWER:

Nnwj

Step-by-step EXPLANATION:

I cannot UNDERSTAND LANGUAGE

Discussion

22.	A number 32 a6a is divisible by 3 find what values can hold ?also find all such numbers.
Answer» BRO I couldn't FOUND SORRY

Discussion

23.	37. A toy is made in the shape of a cylinder with one hemisphere stuck to one endand a cone to the other end, as shown in the figure, the length of the cylindricalpart of the toy is 20cm and its diameter is 10cm. If the slant height of the coneis 13cm. Find the surface area of the toy.
Answer» ANSWER: HOPE it will HELP you MARK me as BRIANLIST

23.

37. A toy is made in the shape of a cylinder with one hemisphere stuck to one endand a cone to the other end, as shown in the figure, the length of the cylindricalpart of the toy is 20cm and its diameter is 10cm. If the slant height of the coneis 13cm. Find the surface area of the toy.

Answer»

ANSWER:

HOPE it will HELP you MARK me as BRIANLIST

Discussion

24.	The cost of four apples, six bananas and eightoranges is p. The cost of five apples, eight bananasand eleven oranges is q. The cost of eight apples,fourteen bananas and twenty oranges is r. Which ofthe following is always true?
Answer» Step-by-step EXPLANATION: all of the above . . . .. . .. . . . . .

24.

The cost of four apples, six bananas and eightoranges is p. The cost of five apples, eight bananasand eleven oranges is q. The cost of eight apples,fourteen bananas and twenty oranges is r. Which ofthe following is always true?

Answer»

Step-by-step EXPLANATION:

all of the above

.

..

.

..

.

Discussion

25.	Cot 30° (Sea 30-1)1 + Sin 30°/Sea 30°1- Sinzo1 + dec30
Answer» Answer: send the QUESTION PROPERLY Step-by-step explanation: it is not sea, it is sec

25.

Cot 30° (Sea 30-1)1 + Sin 30°/Sea 30°1- Sinzo1 + dec30

Answer»

Answer:

send the QUESTION PROPERLY

Step-by-step explanation:

it is not sea, it is sec

Discussion

26.	Write any two equation using a and b which have a solution (0,2) .
Answer» ANSWER: here, a= 0 and b = 2 we can FORM INFINITE NUMBER of equations with this 2 of them would be , a + b = 2 and b - a = 2. a + b = 2 → 0 + 2 = 2 & b - a = 2 → 2 - 0 = 2

26.

Write any two equation using a and b which have a solution (0,2) .

Answer»

ANSWER:

here, a= 0 and b = 2

we can FORM INFINITE NUMBER of equations with this 2 of them would be ,

a + b = 2 and b - a = 2.

a + b = 2 → 0 + 2 = 2

&

b - a = 2 → 2 - 0 = 2

Discussion

27.	2. Is -5sakition Aquadraticequation ge 3x² + 140-5=0 ?(ه
Answer» Step-by-step EXPLANATION: jo.i.n GIRLS ❤️❤️ tkg-jzqg-pvs

27.

2. Is -5sakition Aquadraticequation ge 3x² + 140-5=0 ?(ه

Answer»

Step-by-step EXPLANATION:

jo.i.n GIRLS ❤️❤️

tkg-jzqg-pvs

Discussion

28.	The difference between place value and face value of 7 in 7380 is
Answer» ANSWER: 1000 - 7 = 9993 is the answer

28.

The difference between place value and face value of 7 in 7380 is

Answer»

ANSWER:

1000 - 7 = 9993 is the answer

Discussion

29.	If cot 28° = tan 2A, then LA =
Answer» Step-by-step explanation: Given:- Cot 28° = tan 2A To find:- Find the MEASUREMENT of A? SOLUTION:- Method -1:- Given that : Cot 28° = Tan 2A =>Cot (90°-62°) = Tan 2A We know that Cot (90°-A)=Tan A =>Tan 62° = Tan 2A =>62° = 2A =>2A = 62° =>A = 62°/2 =>A = 31° Therefore, angle A = 31° Method -2:- Given that : Cot 28° = Tan 2A. We know that Tan A = Cot (90°-A) =>Cot 28° = Cot (90°-2A) =>28° = 90°-2A =>90°-2A = 28° =>-2A = 28°-90° =>-2A = -62° =>2A = 62° =>A = 62°/2 =>A = 31° Therefore , angle A = 31° Answer:- The measurement of angle A = 31° Used formulae:- Cot (90°-A)=Tan A Tan (90°-A)=Cot A

29.

If cot 28° = tan 2A, then LA =

Answer»

Step-by-step explanation:

Given:-

Cot 28° = tan 2A

To find:-

Find the MEASUREMENT of A?

SOLUTION:-

Method -1:-

Given that :

Cot 28° = Tan 2A

=>Cot (90°-62°) = Tan 2A

We know that Cot (90°-A)=Tan A

=>Tan 62° = Tan 2A

=>62° = 2A

=>2A = 62°

=>A = 62°/2

=>A = 31°

Therefore, angle A = 31°

Method -2:-

Given that :

Cot 28° = Tan 2A.

We know that Tan A = Cot (90°-A)

=>Cot 28° = Cot (90°-2A)

=>28° = 90°-2A

=>90°-2A = 28°

=>-2A = 28°-90°

=>-2A = -62°

=>2A = 62°

=>A = 62°/2

=>A = 31°

Therefore , angle A = 31°

Answer:-

The measurement of angle A = 31°

Used formulae:-

Cot (90°-A)=Tan A

Tan (90°-A)=Cot A

Discussion

30.	22-(0.5+0.5)+9div3only for student
Answer» Answer: 10 Step-by-step explanation: 22-(1)+9 ÷3 21+9 ÷3 30÷3 10 by USING BODMAS RULE

30.

22-(0.5+0.5)+9div3only for student

Answer»

Answer:

10

Step-by-step explanation:

22-(1)+9 ÷3

21+9 ÷3

30÷3

10

by USING BODMAS RULE

Discussion

31.	Help me in this question please
Answer» HOPE this HELPS U Have a GOOD DAY

Discussion

32.	9. Verify 5/8 + 7/11= 7/11 +5/8.State the property.
Answer» ANSWER: sorry this answers your QUESTIONS I don't know Step-by-step explanation: hope U UNDERSTAND

32.

9. Verify 5/8 + 7/11= 7/11 +5/8.State the property.

Answer»

ANSWER:

sorry this answers your QUESTIONS I don't know

Step-by-step explanation:

hope U UNDERSTAND

Discussion

33.	(i) Seg AB and seg AC of A ABC are the diameters of the circlesintersecting side BC in point D such that D divides side BC inthe ratio 3 : 1, then prove : ABP = AC? ++ 1 / 2BCAPСDB
Answer» Seg AB and seg AC of A ABC are the DIAMETERS of the CIRCLES

Discussion

34.	44.What should come next in the following letter series?B c g c d b c d g d c b b b c d e?A)dВ) е C)fD)g
Answer» Answer: Answer is G G come NEXT in the FOLLOWING LETTER series. PLEASE make me BRAINLIST

34.

44.What should come next in the following letter series?B c g c d b c d g d c b b b c d e?A)dВ) е C)fD)g

Answer»

Answer:

Answer is G

G come NEXT in the FOLLOWING LETTER series.

PLEASE make me BRAINLIST

Discussion

35.	The numbers p,q,r and s satisfy the following equations:p=2q+3r+4s=k 4p=3q=2r=sWhat is the smallest value of 'k' for which p,q,r and are all positive integres?(A-20//B-24//C-25//D-77//E-154)(A−20//B−24//C−25//D−77//E−154)
Answer» ANSWER is in attachment✌✌✌ Options are WRONG

35.

The numbers p,q,r and s satisfy the following equations:p=2q+3r+4s=k 4p=3q=2r=sWhat is the smallest value of 'k' for which p,q,r and are all positive integres?(A-20//B-24//C-25//D-77//E-154)(A−20//B−24//C−25//D−77//E−154)

Answer»

ANSWER is in attachment✌✌✌

Options are WRONG

Discussion

36.	(4) * 160019. What sum of money lent for 3 yr at 4% peryear will amount to 392 ?JNV 1999](1) 400 (2) 300(3) 325(4) * 350
Answer» ANSWER: 2 is the answer

36.

(4) * 160019. What sum of money lent for 3 yr at 4% peryear will amount to 392 ?JNV 1999](1) 400 (2) 300(3) 325(4) * 350

Answer»

ANSWER:

2 is the answer

Discussion

37.	If 55 kg 200 grams of grains is to be distributed among 12 students equally. Howmuch each student will get?
Answer» Answer: 4kg 600 g each student will get. Step-by-step EXPLANATION: PLEASE mark me as BRAINLIST

37.

If 55 kg 200 grams of grains is to be distributed among 12 students equally. Howmuch each student will get?

Answer»

Answer:

4kg 600 g each student will get.

Step-by-step EXPLANATION:

PLEASE mark me as BRAINLIST

Discussion

38.	See full image for answering
Answer» ANSWER: HE BEAGN WITH 2 BANANAS Step-by-step explanation: 0.5+0.5+1 = 2

38.

See full image for answering

Answer»

ANSWER: HE BEAGN WITH 2 BANANAS

Step-by-step explanation:

0.5+0.5+1 = 2

Discussion

39.	(9) What is the zero of 5x + 9 ?
Answer» ANSWER: -9/5 is THA answer of this QUESTION

39.

(9) What is the zero of 5x + 9 ?

Answer»

ANSWER:

-9/5 is THA answer of this QUESTION

Discussion

40.	Find the area of triangle ABC, whose co-ordinates are A(4, -6), B(3,-2) andC(5,2) then find the length of the median AD?
Answer» Answer: 6 UNITS Step-by-step explanation: to to FIND the length of the median AD, we have to USE midpoint formula and distance formula. first we will use midpoint formula that is, (x1+x2 , y1+y2) = (3+5 , -2+2) = ( 8 , 0 ) ( 2. 2. ) ( 2. 2. ). (. 2. 2 ) = ( 4, 0) now we will use distance formula that is , = ✓(x2-x1)^2 + (y2-y1)^2 = ✓( 4-4 )^2 + [0-(-6)]^2 = ✓(0)^2 + (6)^2 =✓36 = ✓6 = 6 units.

40.

Find the area of triangle ABC, whose co-ordinates are A(4, -6), B(3,-2) andC(5,2) then find the length of the median AD?

Answer»

Answer:

6 UNITS

Step-by-step explanation:

to to FIND the length of the median AD,

we have to USE midpoint formula and distance formula.

first we will use midpoint formula

that is,

(x1+x2 , y1+y2) = (3+5 , -2+2) = ( 8 , 0 )

( 2. 2. ) ( 2. 2. ). (. 2. 2 )

= ( 4, 0)

now we will use distance formula

that is ,

= ✓(x2-x1)^2 + (y2-y1)^2

= ✓( 4-4 )^2 + [0-(-6)]^2

= ✓(0)^2 + (6)^2

=✓36

= ✓6

= 6 units.

Discussion

41.	Burger Bimal and Farida Fries are planning to invest in a fast-food start-up. They have already arranged a sum of Rs.12296, but they want to wait for each other to finish college. As of now, they want share the money between themselves such that Bimal's share at the end of 3 years is equal to Farida's share at the end of 4 years, at a compound interest of 12%. Can you find Farida's share?
Answer» ANSWER: UM SORRY but I can't UNDERSTAND that

41.

Burger Bimal and Farida Fries are planning to invest in a fast-food start-up. They have already arranged a sum of Rs.12296, but they want to wait for each other to finish college. As of now, they want share the money between themselves such that Bimal's share at the end of 3 years is equal to Farida's share at the end of 4 years, at a compound interest of 12%. Can you find Farida's share?

Answer»

ANSWER:

UM SORRY but I can't UNDERSTAND that

Discussion

42.	Take number multiply it by 7. subtract 18 from the product and the result is 31. What is thenumber?
Answer» Answer: 7 is CORRECT answer Step-by-step EXPLANATION: PLEASE BRAINLIEST me

42.

Take number multiply it by 7. subtract 18 from the product and the result is 31. What is thenumber?

Answer»

Answer:

7 is CORRECT answer

Step-by-step EXPLANATION:

PLEASE BRAINLIEST me

Discussion

43.	38. In the given figure, find the area and perimeter of the shaded region, wheresemi-circles on diameters AC,BC,AB respectivelyין
Answer» [FIGURE IS IN THE ATTACHMENT] Given: Diameter of SEMICIRCLE AEB= 2.8 cm RADIUS OF SEMICIRCLE(AEB)= 2.8/2= 1.4 cm Diameter of semicircle BFC=1.4 cm RADIUS OF SEMICIRCLE(BFC)= 1.4/2= 0.7 cm Diameter of semicircle ADC= 2.8+1.4 = 4.2 cm RADIUS OF SEMICIRCLE(ADC) = 4.2/2= 2.1 cm. Perimeter of the SHADED region= sum of the arc of semicircle AEB, BFC and ADC= [π×1.4) +(π×0.7)+(π×2.1)] cm = π(1.4+0.7+2.1) cm =( 22/7) ×4.2 = 22× .6 = 13.2 cm Hence, the perimeter of the shaded region is 13.2 cm

43.

38. In the given figure, find the area and perimeter of the shaded region, wheresemi-circles on diameters AC,BC,AB respectivelyין

Answer»

[FIGURE IS IN THE ATTACHMENT]

Given:

Diameter of SEMICIRCLE AEB= 2.8 cm

RADIUS OF SEMICIRCLE(AEB)= 2.8/2= 1.4 cm

Diameter of semicircle BFC=1.4 cm

RADIUS OF SEMICIRCLE(BFC)= 1.4/2= 0.7 cm

Diameter of semicircle ADC= 2.8+1.4 = 4.2 cm

RADIUS OF SEMICIRCLE(ADC) = 4.2/2= 2.1 cm.

Perimeter of the SHADED region= sum of the arc of semicircle AEB, BFC and ADC= [π×1.4) +(π×0.7)+(π×2.1)] cm

= π(1.4+0.7+2.1) cm

=( 22/7) ×4.2

= 22× .6

= 13.2 cm

Hence, the perimeter of the shaded region is 13.2 cm

Discussion

44.	21. एक वस्तु को 450 रुपये में बेचने से एक आदमी को25% की हानि होती है । वस्तु किस कीमत पर बेचीजाय कि उस आदमी को 25% का लाभ हो ?
Answer» Answer: kisi or se PUCHO YRR what where are you going to➡

44.

21. एक वस्तु को 450 रुपये में बेचने से एक आदमी को25% की हानि होती है । वस्तु किस कीमत पर बेचीजाय कि उस आदमी को 25% का लाभ हो ?

Answer»

Answer:

kisi or se PUCHO YRR what where are you going to➡

Discussion

45.	Look at the picture, and help me sole it
Answer» Answer: DRAW a b from the take the TRANSVERSAL that creates 150 II and mark 46 degree and draw the bisector of that LINE now name that ABC ABC is required Triangle by this you can find the length of the transmission line segment between the parallel lines

45.

Look at the picture, and help me sole it

Answer»

Answer:

DRAW a b from the take the TRANSVERSAL that creates 150 II and mark 46 degree and draw the bisector of that LINE now name that ABC ABC is required Triangle by this you can find the length of the transmission line segment between the parallel lines

Discussion

46.	ashok got the following marks in different subjects in a unit test 20,11,21,25,23 and 14. what is arthematic mean of his marks ?
Answer» Answer: 19 Step-by-step EXPLANATION: MEAN =20+11+21+25+23+14/6 mean=114/6=19

46.

ashok got the following marks in different subjects in a unit test 20,11,21,25,23 and 14. what is arthematic mean of his marks ?

Answer»

Answer:

19

Step-by-step EXPLANATION:

MEAN =20+11+21+25+23+14/6

mean=114/6=19

Discussion

47.	विभाग-४ उपयोजित लेखन (१२नेखन१)आआदर्श विद्यालय, कोल्हापूरव जिल्हा परिषद कोल्हापूरयांचे तर्फे क्रिडा सप्ताहाचे आयोजन.कालावधी - दि. १५ मार्च ते २१ मार्चअ)1क्रिडा विभाग प्रमुख या नात्याने संबंधित व्यक्तीलाक्रीडा सप्ताहात शाळेला क्रीडा चषककिंवागाळेसाठी क्रिकेटच्या खेळाच्यासाहित्याची मागणी करणारेपत्र लिहामिळाल्याबद्दल खेळाडूंचे अभिनंदनकरणारे पत्र लिहा
Answer» you HORSE BYR cfiurc verru

Discussion

48.	Contact an isoceles right angle triangle with a base of length 5 cm
Answer» ANSWER: here's your ISOSCELES angled triangle Step-by-step EXPLANATION: MARK me as brainliest Hope it HELPS you

48.

Contact an isoceles right angle triangle with a base of length 5 cm

Answer»

ANSWER:

here's your ISOSCELES angled triangle

Step-by-step EXPLANATION:

MARK me as brainliest

Hope it HELPS you

Discussion

49.	If cos(40+x)° = sin 30° find the valueof x
Answer» $\begin{gathered}\begin{gathered}\bf \: <klux>GIVEN</klux> - \begin{cases} &\sf{cos(40 + x)\degree \: = sin30\degree \:} \\ \end{cases}\end{gathered}\end{gathered}$ $\begin{gathered}\begin{gathered}\bf \:To\:find - \begin{cases} &\sf{the \: value \: of \: x} \\ \end{cases}\end{gathered}\end{gathered}$ $\begin{gathered}\Large{\sf{{\underline{Formula \: Used - }}}} \end{gathered}$ $\boxed{ \bf{sin(90\degree \: - x) = cosx}}$ $\large\underline{\sf{Solution-}}$ Given that, $\rm :\longmapsto\:cos(40 + x)\degree \: = sin30\degree \:$ $\rm :\longmapsto\:cos(40 + x)\degree \: = sin(90\degree \: - 60\degree)$ $\rm :\longmapsto\:cos(40 + x)\degree \: = cos60\degree \:$ So, on COMPARING, we GET $\rm :\longmapsto\:40 + x = 60$ $\bf\implies \:x \: = \: 20$ ADDITIONAL INFORMATION :- $1. \: \: \boxed{ \bf{sin(90\degree \: - x) = cosx}}$ $2. \: \: \boxed{ \bf{cos(90\degree \: - x) = sinx}}$ $3. \: \: \boxed{ \bf{tan(90\degree \: - x) = cotx}}$ $4. \: \: \boxed{ \bf{cot(90\degree \: - x) = tanx}}$ $5. \: \: \boxed{ \bf{sec(90\degree \: - x) = cosecx}}$ $6. \: \: \boxed{ \bf{cosec(90\degree \: - x) = secx}}$

49.

If cos(40+x)° = sin 30° find the valueof x

Answer»

$\begin{gathered}\begin{gathered}\bf \: <klux>GIVEN</klux> - \begin{cases} &\sf{cos(40 + x)\degree \: = sin30\degree \:} \\ \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\bf \:To\:find - \begin{cases} &\sf{the \: value \: of \: x} \\ \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\Large{\sf{{\underline{Formula \: Used - }}}} \end{gathered}$

$\boxed{ \bf{sin(90\degree \: - x) = cosx}}$

$\large\underline{\sf{Solution-}}$

Given that,

$\rm :\longmapsto\:cos(40 + x)\degree \: = sin30\degree \:$

$\rm :\longmapsto\:cos(40 + x)\degree \: = sin(90\degree \: - 60\degree)$

$\rm :\longmapsto\:cos(40 + x)\degree \: = cos60\degree \:$

So, on COMPARING, we GET

$\rm :\longmapsto\:40 + x = 60$

$\bf\implies \:x \: = \: 20$

ADDITIONAL INFORMATION :-

$1. \: \: \boxed{ \bf{sin(90\degree \: - x) = cosx}}$

$2. \: \: \boxed{ \bf{cos(90\degree \: - x) = sinx}}$

$3. \: \: \boxed{ \bf{tan(90\degree \: - x) = cotx}}$

$4. \: \: \boxed{ \bf{cot(90\degree \: - x) = tanx}}$

$5. \: \: \boxed{ \bf{sec(90\degree \: - x) = cosecx}}$

$6. \: \: \boxed{ \bf{cosec(90\degree \: - x) = secx}}$

Discussion

50.	___ is one of the sloution of the equation 2x-y=0
Answer» ANSWER: (1,2) is ONE of the SOLUTIONS of the EQUATION 2x-y=0

50.

___ is one of the sloution of the equation 2x-y=0

Answer»

ANSWER:

(1,2) is ONE of the SOLUTIONS of the EQUATION 2x-y=0

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

13. The value of 60॰×70॰×80॰is (a) 0 (b) 1 (c) 3 (d) None of thes​

Please l will make you brainlieat​

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To FIND:

SOLUTION:

Answer:

2.5 Find the value of : sin’35° + sin 55°​

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Express the following number in standard form :3,84,00,00,000​

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Prove that cos theta-sin theta+1/ sin theta+cos theta-1 = 1 / cosec theta-cot theta​

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A farmer has 36 individual lengths of fence. Each is I m long.What is the smallest are that can be enclosed using all 36 fences?What is the largest area that can be enclosed using all 36 fences?​

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Solution:-

ANSWER:-

GIVEN:-

TO FIND:-

FORMULA:-

SOLVING BY APPLYING THE FORMULA:-

Αηүвσ∂ү jíndααα????dєfínє αtmσѕphєrє!​

An atmosphere is a layer or a set of layers of GASES surrounding a planet or other MATERIAL body, that is held in place by the gravity of that body. An atmosphere is more likely to be retained if the gravity it is subject to is high and the temperature of the atmosphere is low.

baaki KA nhi pata per Mai to jinda nhi HU xD

Add 24 minutes 35 seconds and 25 minutes 45 seconds​

Write the equation of line parallel to x- axis and 7 units above it.​

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নীচের প্রতিটি ক্ষেত্রে n-এর মান নির্ণয় করাে:(i) যদি "ca-2 = 21 হয়;​

A number 32 a6a is divisible by 3 find what values can hold ?also find all such numbers.​

37. A toy is made in the shape of a cylinder with one hemisphere stuck to one endand a cone to the other end, as shown in the figure, the length of the cylindricalpart of the toy is 20cm and its diameter is 10cm. If the slant height of the coneis 13cm. Find the surface area of the toy.​

The cost of four apples, six bananas and eightoranges is p. The cost of five apples, eight bananasand eleven oranges is q. The cost of eight apples,fourteen bananas and twenty oranges is r. Which ofthe following is always true?​

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The difference between place value and face value of 7 in 7380 is

If cot 28° = tan 2A, then LA =​

Given:-

To find:-

SOLUTION:-

Method -1:-

Method -2:-

Answer:-

Used formulae:-

22-(0.5+0.5)+9div3only for student​

Help me in this question please​

9. Verify 5/8 + 7/11= 7/11 +5/8.State the property.​

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See full image for answering​

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Find the area of triangle ABC, whose co-ordinates are A(4, -6), B(3,-2) andC(5,2) then find the length of the median AD?​

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Look at the picture, and help me sole it

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Contact an isoceles right angle triangle with a base of length 5 cm​

If cos(40+x)° = sin 30° find the valueof x​

ADDITIONAL INFORMATION :-

___ is one of the sloution of the equation 2x-y=0​

13. The value of 60॰×70॰×80॰is (a) 0 (b) 1 (c) 3 (d) None of thes

Please l will make you brainlieat

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Draw a rectangle and represented the 3/5

34. In a building there are 25 cylindrical pillars. The radius of each pillar is 50 cmand height 5 m. Find the cost of painting curved surface area of pillars at therate of * 70 per sq. m.

Unreal or hypothetical conditionals

Express the following number in standard form :3,84,00,00,000

1. LOGARITHM. formula

Prove that cos theta-sin theta+1/ sin theta+cos theta-1 = 1 / cosec theta-cot theta

33. एक निश्चित आयत का परिमाप 76 और क्षेत्रफल 360 है,तो इसके सबसे छोटी भुजा की लम्बाई क्या है:(A) 12(C) 18(B) 20(D) 36

A farmer has 36 individual lengths of fence. Each is I m long.What is the smallest are that can be enclosed using all 36 fences?What is the largest area that can be enclosed using all 36 fences?

Find the volume and curved surface area of the cuboid whose dimensions are 22cmx 12cm x 7.5cm.

FnEvaluate theBy changing order of interyention,followingoAM a 6ny dadyAISA810Y=0Yx=0

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Αηүвσ∂ү jíndααα????dєfínє αtmσѕphєrє!

Add 24 minutes 35 seconds and 25 minutes 45 seconds

Write the equation of line parallel to x- axis and 7 units above it.

1. A solution is prepared by mixing benzene andtoluene in such a way that mole fraction of tolueneis 0.5. What is the mass percentage of solution w.r.t.benzene.

Write any one quadratic equation using x as a variable

নীচের প্রতিটি ক্ষেত্রে n-এর মান নির্ণয় করাে:(i) যদি "ca-2 = 21 হয়;

A number 32 a6a is divisible by 3 find what values can hold ?also find all such numbers.

37. A toy is made in the shape of a cylinder with one hemisphere stuck to one endand a cone to the other end, as shown in the figure, the length of the cylindricalpart of the toy is 20cm and its diameter is 10cm. If the slant height of the coneis 13cm. Find the surface area of the toy.

The cost of four apples, six bananas and eightoranges is p. The cost of five apples, eight bananasand eleven oranges is q. The cost of eight apples,fourteen bananas and twenty oranges is r. Which ofthe following is always true?

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Write any two equation using a and b which have a solution (0,2) .

2. Is -5sakition Aquadraticequation ge 3x² + 140-5=0 ?(ه

If cot 28° = tan 2A, then LA =

22-(0.5+0.5)+9div3only for student

Help me in this question please

9. Verify 5/8 + 7/11= 7/11 +5/8.State the property.

(i) Seg AB and seg AC of A ABC are the diameters of the circlesintersecting side BC in point D such that D divides side BC inthe ratio 3 : 1, then prove : ABP = AC? ++ 1 / 2BCAPСDB

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The numbers p,q,r and s satisfy the following equations:p=2q+3r+4s=k 4p=3q=2r=sWhat is the smallest value of 'k' for which p,q,r and are all positive integres?(A-20//B-24//C-25//D-77//E-154)(A−20//B−24//C−25//D−77//E−154)

(4) * 160019. What sum of money lent for 3 yr at 4% peryear will amount to 392 ?JNV 1999](1) 400 (2) 300(3) 325(4) * 350

If 55 kg 200 grams of grains is to be distributed among 12 students equally. Howmuch each student will get?

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(9) What is the zero of 5x + 9 ?

Find the area of triangle ABC, whose co-ordinates are A(4, -6), B(3,-2) andC(5,2) then find the length of the median AD?

Take number multiply it by 7. subtract 18 from the product and the result is 31. What is thenumber?

38. In the given figure, find the area and perimeter of the shaded region, wheresemi-circles on diameters AC,BC,AB respectivelyין

21. एक वस्तु को 450 रुपये में बेचने से एक आदमी को25% की हानि होती है । वस्तु किस कीमत पर बेचीजाय कि उस आदमी को 25% का लाभ हो ?

ashok got the following marks in different subjects in a unit test 20,11,21,25,23 and 14. what is arthematic mean of his marks ?

Contact an isoceles right angle triangle with a base of length 5 cm

If cos(40+x)° = sin 30° find the valueof x

___ is one of the sloution of the equation 2x-y=0