332354 + Interview Questions in Secondary School in Math

1.	From the quadratic equation if roots are -3 and -7
Answer» *If you are GIVEN that the roots are -3 and -7, those are your x intercepts. ... x+3=0 and x+7=0........SINCE both are set to ZERO we can use the zero product rule of ab=0.*

1.

From the quadratic equation if roots are -3 and -7

Answer»

If you are GIVEN that the roots are -3 and -7, those are your x intercepts. ... x+3=0 and x+7=0........SINCE both are set to ZERO we can use the zero product rule of ab=0.

Discussion

2.	Write sas congurence critera
Answer» Answer: SAS criterion: Step-by-step explanation: If two sides and the INCLUDED angles of a TRIANGLE are equal to two sides and the included ANGLE of another triangle, the TRIANGLES are congruent........

2.

Write sas congurence critera

Answer»

Answer:

SAS criterion:

Step-by-step explanation:

If two sides and the INCLUDED angles of a TRIANGLE are equal to two sides and the included ANGLE of another triangle, the TRIANGLES are congruent........

Discussion

3.	If the mode of 15,20,25,18,13,15,25,15,18,17,20,25,2k+10 and 18 is 20.Find k?
Answer» Step-by-step explanation: MAY this help u my DEAR please mark this asa brainlost ANSWER

3.

If the mode of 15,20,25,18,13,15,25,15,18,17,20,25,2k+10 and 18 is 20.Find k?

Answer»

Step-by-step explanation:

MAY this help u my DEAR

please mark this asa brainlost ANSWER

Discussion

4.	(i) a^3- b^3+ a - b
Answer» ANSWER: what is your QUESTION.....??? MARK me as BRAINLIEST

4.

(i) a^3- b^3+ a - b

Answer»

ANSWER:

what is your QUESTION.....???

MARK me as BRAINLIEST

Discussion

5.	If a =2 and b= 3 find the value of a3 - b3
Answer» a³-b³ = (a-b)(a² + b² + AB) → (2-3)(4+9+6) → (-1)(19) → -19

5.

If a =2 and b= 3 find the value of a3 - b3

Answer»

a³-b³ = (a-b)(a² + b² + AB)

→ (2-3)(4+9+6)

→ (-1)(19)

→ -19

Discussion

6.	If x square +1/x square =18 find the valie of x+1/x and x-1/x
Answer» Step-by-step EXPLANATION: x2+1/x2=18 subtract 2.x.1/x on both sides x2+1/x2-2.x.1/x=18-2.x.1/x (x-1/x)2=18-2 x-1/x=16

6.

If x square +1/x square =18 find the valie of x+1/x and x-1/x

Answer»

Step-by-step EXPLANATION:

x2+1/x2=18

subtract 2.x.1/x on both sides

x2+1/x2-2.x.1/x=18-2.x.1/x

(x-1/x)2=18-2

x-1/x=16

Discussion

7.	2 when the son will be as old as his father today, thesum of their ages then will be 126. when the father wasas od as his son is today, the sum of their ages thenwas 38. Find their present ages.
Answer» 63 and 19 Step-by-step explanation: LET father's age be x and SON's age be y according to 1st CONDITION, the son will be as old as his father so ,x +x =126 2x = 126 x =63 according to second condition when father is as old as his son today so, y+y=38 2y=38 y=19 so the age of father is 63 & age of son in 19

7.

2 when the son will be as old as his father today, thesum of their ages then will be 126. when the father wasas od as his son is today, the sum of their ages thenwas 38. Find their present ages.

Answer»

63 and 19

Step-by-step explanation:

LET father's age be x

and SON's age be y

according to 1st CONDITION,

the son will be as old as his father

so ,x +x =126

2x = 126

x =63

according to second condition

when father is as old as his son today

so, y+y=38

2y=38

y=19

so the age of father is 63 & age of son in 19

Discussion

8.	Water pis billed in a night cylindrical tank withbase radius 140cm, such that water level is 3cmbelow the top. When an iron ball is dooppedin the tank, 3003 cm3 of water flows out.find the radius of the ball,
Answer» I HOPE this MAY HELP you

8.

Water pis billed in a night cylindrical tank withbase radius 140cm, such that water level is 3cmbelow the top. When an iron ball is dooppedin the tank, 3003 cm3 of water flows out.find the radius of the ball,

Answer»

I HOPE this MAY HELP you

Discussion

9.	The mean of the scores a,b,c,d is 10 then find the mean of 2a-1,2b-1,2c-1,2d-1?
Answer» ANSWER: hello whats your question I didnot GET JT...

9.

The mean of the scores a,b,c,d is 10 then find the mean of 2a-1,2b-1,2c-1,2d-1?

Answer»

ANSWER:

hello whats your question I didnot GET JT...

Discussion

10.	Find the LCM of 388, 144 and 128.
Answer» Answer: 388 = 2 × 2 × 97 144 = 2 × 2 × 2 × 2 × 3 × 3 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 LCM = 97 × 2^9 × 3^2 = 446976 _______

10.

Find the LCM of 388, 144 and 128.

Answer»

Answer:

388 = 2 × 2 × 97

144 = 2 × 2 × 2 × 2 × 3 × 3

128 = 2 × 2 × 2 × 2 × 2 × 2 × 2

LCM = 97 × 2^9 × 3^2

= 446976

_______

Discussion

11.	If 3p+4q÷3r+4s=3p-4q÷3r-4s prove that p÷q=r÷s
Answer» ANSWER: SEE this attachment This is the BEST POSSIBLE answer Hope you have understood Please MARK it as $\huge\underline\mathcal\red{Brainliest}$ $\huge{\boxed{\mathbb\green{\fcolorbox{red}{blue}{Thank\:You}}}}$

11.

If 3p+4q÷3r+4s=3p-4q÷3r-4s prove that p÷q=r÷s

Answer»

ANSWER:

SEE this attachment

This is the BEST POSSIBLE answer

Hope you have understood

Please MARK it as

$\huge\underline\mathcal\red{Brainliest}$

$\huge{\boxed{\mathbb\green{\fcolorbox{red}{blue}{Thank\:You}}}}$

Discussion

12.	He blanks by selecting the proper allumeach statement :5. In the following frequency distribution,ing frequency distribution, the modal class isClass 0-20 20-40 40-60 60 - 80 80 - 100Frequency 8 15 22 25 10A. О - 20 B. 20 - 40 C. 40-60 D. 60-806. Among the followings, ......... cannot be the probability of an eveA. B. 0.7 C. 0.15 D. 1.57. The probability of a leap year having 53 Fridays isA. 1 B. 2 / 2 c. 22 D. 2 / 28. If x-ky = 2 and 3x + 2y = -5 has a unique solution, thenA. K = 2/3 Bk = - 23 c. k= 2 2 D. K = - 3 / 3• Fill in the blanks so as to make each of the following stat9. At present, the age of Ahaan is one-third the age of his mother
Answer» ANSWER: nbzjbdddhdhddjnhdnskskshskdhdkdhshdbdjduh sudvdjd didh icddbvsid d d

12.

He blanks by selecting the proper allumeach statement :5. In the following frequency distribution,ing frequency distribution, the modal class isClass 0-20 20-40 40-60 60 - 80 80 - 100Frequency 8 15 22 25 10A. О - 20 B. 20 - 40 C. 40-60 D. 60-806. Among the followings, ......... cannot be the probability of an eveA. B. 0.7 C. 0.15 D. 1.57. The probability of a leap year having 53 Fridays isA. 1 B. 2 / 2 c. 22 D. 2 / 28. If x-ky = 2 and 3x + 2y = -5 has a unique solution, thenA. K = 2/3 Bk = - 23 c. k= 2 2 D. K = - 3 / 3• Fill in the blanks so as to make each of the following stat9. At present, the age of Ahaan is one-third the age of his mother

Answer»

ANSWER:

nbzjbdddhdhddjnhdnskskshskdhdkdhshdbdjduh sudvdjd didh icddbvsid d d

Discussion

13.	The sum of the age of a man his son is 45years .5 years ago , the product of their ages was four times the man's age at that time.find their present ages.
Answer» Step-by-step EXPLANATION: ans.son's AGE=9 YEARS MAN's age =36 years

13.

The sum of the age of a man his son is 45years .5 years ago , the product of their ages was four times the man's age at that time.find their present ages.

Answer»

Step-by-step EXPLANATION:

ans.son's AGE=9 YEARS

MAN's age =36 years

Discussion

14.	Find the amount and the compound interest on 24000 for 9 months, if the inter.est is payable quarterly at the rate of 20 paisa a rupee per annum.
Answer» P = Rs. 24000 Time or n = 6 months = 2 periods of 3 months each or n= 2. Rate = 20 paisa per one rupee per annum = 20 paisa per 100 paisa R = 20 % per annum There are 4 quarters in a YEAR so, R = 20/4 = 5 % for 3 months A = P(1 + R/100)ⁿ A = 24000(1 + 5/100)² A = 24000 × 105/100 × 105/100 A = 12 × 105 × 21 A = 26460 Rs. Compound Interest = A - P Compound Interest = 26460 - 24000 Compound Interest = 2460 Rs.

14.

Find the amount and the compound interest on 24000 for 9 months, if the inter.est is payable quarterly at the rate of 20 paisa a rupee per annum.

Answer»

P = Rs. 24000

Time or n = 6 months = 2 periods of 3 months each or n= 2.

Rate = 20 paisa per one rupee per annum

= 20 paisa per 100 paisa

R = 20 % per annum

There are 4 quarters in a YEAR so, R = 20/4 = 5 % for 3 months

A = P(1 + R/100)ⁿ

A = 24000(1 + 5/100)²

A = 24000 × 105/100 × 105/100

A = 12 × 105 × 21

A = 26460 Rs.

Compound Interest = A - P

Compound Interest = 26460 - 24000

Compound Interest = 2460 Rs.

Discussion

15.	If the radius of a pipe is 1cm what is its circumference take pie as 22/7??
Answer» ANSWER: circumference=2πr =2×22/7×1 =44/7 6.28cm

15.

If the radius of a pipe is 1cm what is its circumference take pie as 22/7??

Answer»

ANSWER:

circumference=2πr

=2×22/7×1

=44/7

6.28cm

Discussion

16.	Ques, 8.State whether the sentences are transitive or intransitive1. I am cooking dinner.2. Don't shout at me.3. Bring a glass of water.
Answer» Answer: 1: TRANSITIVE 2: Transitive 3: Transitive I THINK..................

16.

Ques, 8.State whether the sentences are transitive or intransitive1. I am cooking dinner.2. Don't shout at me.3. Bring a glass of water.

Answer»

Answer:

1: TRANSITIVE

2: Transitive

3: Transitive

I THINK..................

Discussion

17.	The sum of any number and zero is the number itself
Answer» Answer: zero Step-by-step explanation: In other words, the sum of any WHOLE NUMBER and zero is the number itself. That is, zero is the only whole number that does not change the value (identity) of the number it is ADDED to. The whole number 0 (zero) is CALLED the additive identity or the identity element for addition of whole NUMBERS

17.

The sum of any number and zero is the number itself

Answer»

Answer:

zero

Step-by-step explanation:

In other words, the sum of any WHOLE NUMBER and zero is the number itself. That is, zero is the only whole number that does not change the value (identity) of the number it is ADDED to. The whole number 0 (zero) is CALLED the additive identity or the identity element for addition of whole NUMBERS

Discussion

18.	X -1/x=10 find the value of (x+1/x)^2
Answer» Just took the VALUE of X then PUT in to find the result

Discussion

19.	Harry got 42 out of 49 correct in his test.What fraction of the marks did he get correct? Give your answer in its simplest form
Answer» ANSWER: 42/49=6/7 is the answer

19.

Harry got 42 out of 49 correct in his test.What fraction of the marks did he get correct? Give your answer in its simplest form

Answer»

ANSWER:

42/49=6/7 is the answer

Discussion

20.	The prices of two articles are as 3:4. Ifthe price of the first article is increasedby 10% and that of the second by * 4,original ratio remains the same. Theoriginal price of the second article is..!!.plz explain ans frnds
Answer» Answer: In △ABC AB=AC ⇒∠B=∠C (Angles OPPOSITE to equal sides are equal) Now using angle sum property ∠A+∠B+∠C=180 ∘ ⇒80 ∘ +∠C+∠C=180 ∘ ⇒2∠C=180 ∘ −80 ∘ ⇒∠C= 2 100 ∘ =50 ∘ now ∠C+∠x=180 ∘ (Angles MADE on straight LINE (AC) are supplementary) ⇒50 ∘ +∠x=180 ∘ ⇒∠x=180 ∘ −50 ∘ =130 ∘

20.

The prices of two articles are as 3:4. Ifthe price of the first article is increasedby 10% and that of the second by * 4,original ratio remains the same. Theoriginal price of the second article is..!!.plz explain ans frnds

Answer»

Answer:

In △ABC AB=AC

⇒∠B=∠C (Angles OPPOSITE to equal sides are equal)

Now using angle sum property

∠A+∠B+∠C=180

∘

⇒80

∘

+∠C+∠C=180

∘

⇒2∠C=180

∘

−80

∘

⇒∠C=

2

100

∘

=50

∘

now ∠C+∠x=180

∘

(Angles MADE on straight LINE (AC) are supplementary)

⇒50

∘

+∠x=180

∘

⇒∠x=180

∘

−50

∘

=130

∘

Discussion

21.	Factorise:- 6/x= 1+x
Answer» ANSWER: $\sqrt{5}$ Step-by-step EXPLANATION: $6 \div x = 1 + x \\ 1 + x = 6 \div x \\ 1 + x \times x = 6 \\ x {}^{2} + 1 = 6 \\ x {}^{2} = 6 - 1 \\ x {}^{2} = 5 \\ x = \sqrt{5}$

21.

Factorise:- 6/x= 1+x

Answer»

ANSWER:

$\sqrt{5}$

Step-by-step EXPLANATION:

$6 \div x = 1 + x \\ 1 + x = 6 \div x \\ 1 + x \times x = 6 \\ x {}^{2} + 1 = 6 \\ x {}^{2} = 6 - 1 \\ x {}^{2} = 5 \\ x = \sqrt{5}$

Discussion

22.	P hot blueR.R.O, GG,G,G)Pic)(C) - 9Solve any vee any two of the following subquestions :Solve 49 - 57y - 172: 57% - 49 = 252.66(it) Thee rst terms of an A.P. is 3150. Find its 23rd term.in Draw a histogram of the following data :Height (cm)135 - 140 140 - 145 145 – 150 150 - 155Number of students12 I 16 I 8iv) A two-digit number is formed from the digits 0, 1, 2, 3, 4 without repenFind the probability that the number so formed is a prime number.HOD.Salve any two of the following subquestions :A cottage industry produces a certain number of potteries in a day. It was foundthat the cost of production of each article 5 more than twice the number ofpotteries produced in a day. If the cost of production on that day was * 168, findthe number of potteries produced.
Answer» Step-by-step EXPLANATION: how are you FRIEND U ALSO

22.

P hot blueR.R.O, GG,G,G)Pic)(C) - 9Solve any vee any two of the following subquestions :Solve 49 - 57y - 172: 57% - 49 = 252.66(it) Thee rst terms of an A.P. is 3150. Find its 23rd term.in Draw a histogram of the following data :Height (cm)135 - 140 140 - 145 145 – 150 150 - 155Number of students12 I 16 I 8iv) A two-digit number is formed from the digits 0, 1, 2, 3, 4 without repenFind the probability that the number so formed is a prime number.HOD.Salve any two of the following subquestions :A cottage industry produces a certain number of potteries in a day. It was foundthat the cost of production of each article 5 more than twice the number ofpotteries produced in a day. If the cost of production on that day was * 168, findthe number of potteries produced.

Answer»

Step-by-step EXPLANATION:

how are you FRIEND U ALSO

Discussion

23.	12th ka CBSE QUESTIONS PAPER OF MATHSREQUEST TO SEND ....!!!
Answer» Answer: cbse. com PE mil JAYEGA Step-by-step EXPLANATION: MAKE it BRAINLIEAST

23.

12th ka CBSE QUESTIONS PAPER OF MATHSREQUEST TO SEND ....!!!

Answer»

Answer:

cbse. com PE mil JAYEGA

Step-by-step EXPLANATION:

MAKE it BRAINLIEAST

Discussion

24.	If the median of a-3,a-1,a+1 and a+3 is 5 then find a?
Answer» Step-by-step EXPLANATION: from the above QUESTION we have 4a = 5 a = 4÷5

24.

If the median of a-3,a-1,a+1 and a+3 is 5 then find a?

Answer»

Step-by-step EXPLANATION:

from the above QUESTION we have

4a = 5

a = 4÷5

Discussion

25.	I don't find how to solve this please help me
Answer» Answer: Since the middle number of the three consecutive NUMBERS is X, the other TWO numbers are x -1 and x +1. According to the given condition, we have x² = [(x +1)² -(x -1)²] +60 x² = (x² +2x +1) -(x² -2x +1) +60 = 4x +60 x² -4x -60 = 0 => (x -10)(x +6) = 0 x = 10 or -6 Since x is a natural number, we get x = 10 Hence the three numbers are 9, 10, 11 Step-by-step explanation:

25.

I don't find how to solve this please help me

Answer»

Answer:

Since the middle number of the three consecutive NUMBERS is X, the other TWO numbers are x -1 and x +1.

According to the given condition, we have

x² = [(x +1)² -(x -1)²] +60

x² = (x² +2x +1) -(x² -2x +1) +60 = 4x +60

x² -4x -60 = 0 => (x -10)(x +6) = 0

x = 10 or -6

Since x is a natural number, we get x = 10

Hence the three numbers are 9, 10, 11

Step-by-step explanation:

Discussion

26.	14an- (3n-20+59/8)=an
Answer» HOPE this HELPS. Just GAVE the RELATIONSHIP

Discussion

27.	The median of the scores 5/x,1/x,4/x,3/x,2/x,6/x is 1/7 then find x?
Answer» ANSWER: a2-a1=a3-a2 1/x-5/x=4/x-1/x -4/x=3/x -4x=3x

27.

The median of the scores 5/x,1/x,4/x,3/x,2/x,6/x is 1/7 then find x?

Answer»

ANSWER:

a2-a1=a3-a2

1/x-5/x=4/x-1/x

-4/x=3/x

-4x=3x

Discussion

28.	If the diameter of a sphere is d and curved surface area S, then show that S =Hence find the surface area of sphere whose diameter is 4.2 cm
Answer» Step-by-step EXPLANATION: HEYA USER HERE'S YOUR ANSWER HOPE IT HELPS PLZ MARK IT AS THE BRAINLIEST

28.

If the diameter of a sphere is d and curved surface area S, then show that S =Hence find the surface area of sphere whose diameter is 4.2 cm

Answer»

Step-by-step EXPLANATION:

HEYA USER

HERE'S YOUR ANSWER

HOPE IT HELPS

PLZ MARK IT AS THE BRAINLIEST

Discussion

29.	Dmvanswer the following question
Answer» HOPE this HELPS you mark me as BRAINLIEST

29.

Dmvanswer the following question

Answer»

HOPE this HELPS you

mark me as BRAINLIEST

Discussion

30.	Find the median of -9,7,-5,23,0 and 2?
Answer» Answer: n/2+1 6/2+1 3+1 4th term is the MEDIAN of the ap 23 is the median...... I HOPE it's CORRECT mark me as brainliest

30.

Find the median of -9,7,-5,23,0 and 2?

Answer»

Answer:

n/2+1

6/2+1

3+1

4th term is the MEDIAN of the ap

23 is the median......

I HOPE it's CORRECT

mark me as brainliest

Discussion

31.	3. TRIGONOMETRICAL FI1. Which of the following is not correct?(A) sin a+b
Answer» $\huge\boxed{\fcolorbox{white}{pink}{Answer}}$ Bhai pura QUESTION to LIKH DETE AAO...

31.

3. TRIGONOMETRICAL FI1. Which of the following is not correct?(A) sin a+b

Answer»

$\huge\boxed{\fcolorbox{white}{pink}{Answer}}$

Bhai pura QUESTION to LIKH DETE AAO...

Discussion

32.	an automobile showroom sells a bike for rs 38400 cash or for rs 9600 down payment and 5 equal monthly instalments you are required to find amount of each instalments if the interested is charge at 12%??
Answer» AMOUNT of each installments = Rs 5,933.95 Step-by-step EXPLANATION: an automobile showroom sells a bike for rs 38400 cash or for rs 9600 down payment and 5 EQUAL monthly installments Amount to be paid = Rs 38400 Down Payment = Rs 9600 Remaining payment = 38400 - 9600 = 28800 Rs Rate of INTEREST = 12 % per ANNUM = 1 % per month Time = 5 months EMI = P * (R/100) (1 + R/100)⁵ /( (1 + R/100)⁵ - 1) = 28800 ( 1/100) (1.01)⁵/( (1.01)⁵ - 1) = 5,933.95 amount of each installments = Rs 5,933.95 Learn more: John borrowed Rs. 2,10,000 from a bank at an interest rate of 10 ... brainly.in/question/13190867 A person buys a machine at a rate of Rs.50,400 per annum at an ... brainly.in/question/13970748 loan of Rs 4641 is to be paid back by 4 equal annual instalments ... brainly.in/question/11597537

32.

an automobile showroom sells a bike for rs 38400 cash or for rs 9600 down payment and 5 equal monthly instalments you are required to find amount of each instalments if the interested is charge at 12%??

Answer»

AMOUNT of each installments = Rs 5,933.95

Step-by-step EXPLANATION:

an automobile showroom sells a bike for rs 38400 cash or for rs 9600 down payment and 5 EQUAL monthly installments

Amount to be paid = Rs 38400

Down Payment = Rs 9600

Remaining payment = 38400 - 9600

= 28800 Rs

Rate of INTEREST = 12 % per ANNUM = 1 % per month

Time = 5 months

EMI = P * (R/100) (1 + R/100)⁵ /( (1 + R/100)⁵ - 1)

= 28800 ( 1/100) (1.01)⁵/( (1.01)⁵ - 1)

= 5,933.95

amount of each installments = Rs 5,933.95

Learn more:

John borrowed Rs. 2,10,000 from a bank at an interest rate of 10 ...

brainly.in/question/13190867

A person buys a machine at a rate of Rs.50,400 per annum at an ...

brainly.in/question/13970748

loan of Rs 4641 is to be paid back by 4 equal annual instalments ...

brainly.in/question/11597537

Discussion

33.	(30) The median of the frequency distribution of followingdata is 48. Then find the value of f. Variable 10 20 30 40 50 60 70 80frequency 4 2 1 f 0 3 5 88
Answer» Step-by-step explanation: 40f+50(0)=48 (GIVEN) 40f+0=48 40f=48 f=48/40 f=6/5 f=1.2

33.

(30) The median of the frequency distribution of followingdata is 48. Then find the value of f. Variable 10 20 30 40 50 60 70 80frequency 4 2 1 f 0 3 5 88

Answer»

Step-by-step explanation:

40f+50(0)=48 (GIVEN)

40f+0=48

40f=48

f=48/40

f=6/5

f=1.2

Discussion

34.	If 80 is increased to 120 then find the number percentage increased
Answer» Answer: 120-80=40 %=40/80*100 %=50 hope It HELPS you

34.

If 80 is increased to 120 then find the number percentage increased

Answer»

Answer:

120-80=40

%=40/80*100

%=50

hope It HELPS you

Discussion

35.	Find the mean of 2/9,1/9,4/9,7/9?
Answer» Answer: 1.56 Step-by-step EXPLANATION:

35.

Find the mean of 2/9,1/9,4/9,7/9?

Answer»

Answer:

1.56

Step-by-step EXPLANATION:

Discussion

36.	Find the x if the mean of 5,8,3x+4,5x-9,6,10 is 8?
Answer» ANSWER: a2-a1=a3-a2 8-5=3x+4-8 3=3x-4 3+4/3=x 7/3=x I HOPE it's CORRECT MARK me as BRAINLIEST........

36.

Find the x if the mean of 5,8,3x+4,5x-9,6,10 is 8?

Answer»

ANSWER:

a2-a1=a3-a2

8-5=3x+4-8

3=3x-4

3+4/3=x

7/3=x

I HOPE it's CORRECT

MARK me as BRAINLIEST........

Discussion

37.	If 4ax^2-y^2=(7x+1÷2)(7×-1÷2)What is the value of y
Answer» $4ax^2-y^2=(7x+1\div 2) (7\times -1\div 2)$ $4ax^2-y^2=(7x+ \frac{1}{2}) \times(-\frac{7}{2} )$ $4ax^2-y^2=-\frac{49}{4} x-\frac{7}{4}$ $4ax^2+\frac{49}{4} x+\frac{7}{4}-y^2=0$ LET $4ax^2+\frac{49}{4} x+\frac{7}{4}=t^2$ . The expression above is expressed as $t^2-y^2=0$ . If we USE the IDENTITY $a^2-b^2=(a+b)(a-b)$ , we can factor it. $(t+y)(t-y)=0$ ∴ $y=\pm t$ Substitute $t=\pm \sqrt{4ax^2+\frac{49}{4} x+\frac{7}{4}}$ . $y=\pm(\pm \sqrt{4ax^2+\frac{49}{4} x+\frac{7}{4}})$ $y=\pm \sqrt{4ax^2+\frac{49}{4} x+\frac{7}{4}}$ Now it's time to simplify the right hand side. $y=\pm \sqrt{\frac{1}{4} (16ax^2+49x+7)}$ ∴ $y=\pm \frac{1}{2} \sqrt{16ax^2+49x+7}$ I could just take the root on the both side, but in my opinion, this way was easier to UNDERSTAND.

37.

If 4ax^2-y^2=(7x+1÷2)(7×-1÷2)What is the value of y

Answer»

$4ax^2-y^2=(7x+1\div 2) (7\times -1\div 2)$

$4ax^2-y^2=(7x+ \frac{1}{2}) \times(-\frac{7}{2} )$

$4ax^2-y^2=-\frac{49}{4} x-\frac{7}{4}$

$4ax^2+\frac{49}{4} x+\frac{7}{4}-y^2=0$

LET $4ax^2+\frac{49}{4} x+\frac{7}{4}=t^2$ .

The expression above is expressed as $t^2-y^2=0$ .

If we USE the IDENTITY $a^2-b^2=(a+b)(a-b)$ , we can factor it.

$(t+y)(t-y)=0$

∴ $y=\pm t$

Substitute $t=\pm \sqrt{4ax^2+\frac{49}{4} x+\frac{7}{4}}$ .

$y=\pm(\pm \sqrt{4ax^2+\frac{49}{4} x+\frac{7}{4}})$

$y=\pm \sqrt{4ax^2+\frac{49}{4} x+\frac{7}{4}}$

Now it's time to simplify the right hand side.

$y=\pm \sqrt{\frac{1}{4} (16ax^2+49x+7)}$

∴ $y=\pm \frac{1}{2} \sqrt{16ax^2+49x+7}$

I could just take the root on the both side,

but in my opinion, this way was easier to UNDERSTAND.

Discussion

38.	1. The in-radius of an equilateraltriangle is of length 3 cm. Thenthe length of each of its medians is(1) 12 cm(2)cm(3) 4 cm(4) 9 cm
Answer» Step-by-step EXPLANATION: so the base will be 1.5 and hypotenuse will be three according to the PYTHAGORAS Theorem SQUARE is EQUALS to p square + b square (3)^2=[1.5]^2+p^2 9-2.25 6.25=p^2 p=√6.25 p=2.35 appreciate

38.

1. The in-radius of an equilateraltriangle is of length 3 cm. Thenthe length of each of its medians is(1) 12 cm(2)cm(3) 4 cm(4) 9 cm

Answer»

Step-by-step EXPLANATION:

so the base will be 1.5 and hypotenuse will be three according to the PYTHAGORAS Theorem SQUARE is EQUALS to p square + b square
(3)^2=[1.5]^2+p^2
9-2.25
6.25=p^2
p=√6.25
p=2.35 appreciate

Discussion

39.	Plss ans it plss plsss
Answer» ANSWER: Step-by-step EXPLANATION: an=a+(n-1)d an=1+242 an=1+48 an=49

39.

Plss ans it plss plsss

Answer»

ANSWER:

Step-by-step EXPLANATION:

an=a+(n-1)*d

an=1+24*2

an=1+48

an=49

Discussion

40.	Find the HCF of 448 616 728 1064 by long division method method
Answer» Given : 448 616 728 1064 To find : HCF by long division method Solution: HCF of 448 616 728 1064 by long division method 448 _\| 616 \|_ 1 448 ______ 168 _\| 448 \|_ 2 336 _____ 112 _\| 168 \|_1 112 _____ 56 _\| 112 \|_2 112 ____ 0 56 _\| 728 \|_ 13 728 _____ 0 56 _\| 1064 \|_19 1064 _________ 0 56 is the HCF of 448 616 728 1064 Learn more: 455 and 26 long division method find HCF - Brainly.in brainly.in/question/13843147 Find the hcf by USING long division method 1456, 1183 and 3640 ... brainly.in/question/11076212

40.

Find the HCF of 448 616 728 1064 by long division method method

Answer»

Given : 448 616 728 1064

To find : HCF by long division method

Solution:

HCF of 448 616 728 1064 by long division method

448 _| 616 |_ 1

448

______

168 _| 448 |_ 2

336

_____

112 _| 168 |_1

112

_____

56 _| 112 |_2

112

____

0

56 _| 728 |_ 13

728

_____

0

56 _| 1064 |_19

1064

_________

0

56 is the HCF of 448 616 728 1064

Learn more:

455 and 26 long division method find HCF - Brainly.in

brainly.in/question/13843147

Find the hcf by USING long division method 1456, 1183 and 3640 ...

brainly.in/question/11076212

Discussion

41.	A three-digit number is equal to17 times the sum of the digits. if the digits are reversed the new number is 198 more than the original number. The sum of the extreme digits is 1 less than the middle digit. find the original number
Answer» ANSWER: HOPE U FIND this HELPFUL!

41.

A three-digit number is equal to17 times the sum of the digits. if the digits are reversed the new number is 198 more than the original number. The sum of the extreme digits is 1 less than the middle digit. find the original number

Answer»

ANSWER:

HOPE U FIND this HELPFUL!

Discussion

42.	Maths ka question paper of CBES board class 12 th ..REQUEST...
Answer» ANSWER: sorry I don't have............. mark me as brainliest and FOLLOW me FRIENDS

42.

Maths ka question paper of CBES board class 12 th ..REQUEST...

Answer»

ANSWER:

sorry I don't have.............

mark me as brainliest and FOLLOW me FRIENDS

Discussion

43.	Use a letter for any number' and write the following properties in short.
Answer» Step-by-step explanation: (1) The sum of any number and zero is the number itself. (2) The product of any TWO umbers and the product OBTAINED after changing the order of those NUMBERS is the same. (3) The product of any number and zero is zero. 2. WRITE the following properties in words : (2) n+1 (1) m-0-m

43.

Use a letter for any number' and write the following properties in short.

Answer»

Step-by-step explanation:

(1) The sum of any number and zero is the number itself. (2) The product of any TWO umbers and the product OBTAINED after changing the order of those NUMBERS is the same. (3) The product of any number and zero is zero. 2. WRITE the following properties in words : (2) n+1 (1) m-0-m

Discussion

44.	Simplify 8 5/6_3 3/8+2 7/12
Answer» Answer: 12.29 Step-by-step explanation: 85/6 - 33/8 + 27/12 14.16 - 4.12 + 2.25 12.29

44.

Simplify 8 5/6_3 3/8+2 7/12

Answer»

Answer:

12.29

Step-by-step explanation:

85/6 - 33/8 + 27/12

14.16 - 4.12 + 2.25

12.29

Discussion

45.	The difference between the squares of two consecutive odd integers is k ( k>0).the larger of these integers can be expressed in terms of k
Answer» ANSWER: x+2 = (k+4)/4 Step-by-step EXPLANATION:

45.

The difference between the squares of two consecutive odd integers is k ( k>0).the larger of these integers can be expressed in terms of k

Answer»

ANSWER: x+2 = (k+4)/4

Step-by-step EXPLANATION:

Discussion

46.	Intheisan A.P the 20 tem is 40sum of 3rd and sth them16 find the A.P.
Answer» Answer: A.p of 20 TERM is 40. Then , a + 19d= 40 -(I) = And the sum of 3rd and 5th term is 16. a + 2d + a + 4d = 16 2a + 6d = 16 -( TAKE 2 common ) a + 3d = 8(ii) we get TWO equation , subtract equation ii by equation I a +19 d =40 a + 3d =8 = 16d =32 d =2 PUT the value of d in any equation . Then , you will be get first term (a). After , you will be get an A.P.

46.

Intheisan A.P the 20 tem is 40sum of 3rd and sth them16 find the A.P.

Answer»

Answer:

A.p of 20 TERM is 40.

Then , a + 19d= 40 -(I)

= And the sum of 3rd and 5th term is 16.

a + 2d + a + 4d = 16

2a + 6d = 16

-( TAKE 2 common )

a + 3d = 8(ii)

we get TWO equation ,

subtract equation ii by equation I

a +19 d =40

a + 3d =8

= 16d =32

d =2

PUT the value of d in any equation .

Then , you will be get first term (a).

After , you will be get an A.P.

Discussion

47.	If o is the centre of the circle and BOD=150 find BAD
Answer» ANSWER: PLEASE INSERT the FIG. with the QUESTION

47.

If o is the centre of the circle and BOD=150 find BAD

Answer»

ANSWER:

PLEASE INSERT the FIG. with the QUESTION

Discussion

48.	If the line 7 ú 2+ 3k) +212 i + j - 2k) is parallel tothe planer 31 2; + mk) 10, then value of mis(a)=2(0) + 2no 0212
Answer» ANSWER: In △ABC AB=AC ⇒∠B=∠C (Angles opposite to EQUAL SIDES are equal) Now using angle SUM property ∠A+∠B+∠C=180 ∘ ⇒80 ∘ +∠C+∠C=180 ∘ ⇒2∠C=180 ∘ −80 ∘ ⇒∠C= 2 100 ∘ =50 ∘ now ∠C+∠x=180 ∘ (Angles made on straight line (AC) are supplementary) ⇒50 ∘ +∠x=180 ∘ ⇒∠x=180 ∘ −50 ∘ =130 ∘

48.

If the line 7 ú 2+ 3k) +212 i + j - 2k) is parallel tothe planer 31 2; + mk) 10, then value of mis(a)=2(0) + 2no 0212

Answer»

ANSWER:

In △ABC AB=AC

⇒∠B=∠C (Angles opposite to EQUAL SIDES are equal)

Now using angle SUM property

∠A+∠B+∠C=180

∘

⇒80

∘

+∠C+∠C=180

∘

⇒2∠C=180

∘

−80

∘

⇒∠C=

2

100

∘

=50

∘

now ∠C+∠x=180

∘

(Angles made on straight line (AC) are supplementary)

⇒50

∘

+∠x=180

∘

⇒∠x=180

∘

−50

∘

=130

∘

Discussion

49.	Factorise:- (2x-3)^2 = 49
Answer» *YOUR* *ANSWER* . IF IT HELPS YOU THEN MARK AS BRAINLIEST**.

49.

Factorise:- (2x-3)^2 = 49

Answer»

YOUR ANSWER .

IF IT HELPS YOU THEN MARK AS BRAINLIEST.

Discussion

50.	Two no multiple the ans15and two no add the answer is 22.what is the that two no?
Answer» Step-by-step explanation: BRO bro this QUESTION is wrong because the product is LESS than the SUM which cannot be POSSIBLE

50.

Two no multiple the ans15and two no add the answer is 22.what is the that two no?

Answer»

Step-by-step explanation:

BRO bro this QUESTION is wrong because the product is LESS than the SUM which cannot be POSSIBLE

Discussion

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