332354 + Interview Questions in Secondary School in Math

1.	The nature of roots of the equation x2+x+1 is equal to 0
Answer» Answer: ROOTS of the EQUATION are imaginary Step-by-step explanation: Discriminant (D) = b² - 4ac = (1)² - 4(1)(1) = 1 - 4 = -3 D < 0 Hence, roots of the equation are imaginary. Pls mark my answer as brainlist Pls follow me

1.

The nature of roots of the equation x2+x+1 is equal to 0

Answer»

Answer:

ROOTS of the EQUATION are imaginary

Step-by-step explanation:

Discriminant (D) = b² - 4ac

= (1)² - 4(1)(1)

= 1 - 4

= -3

D < 0

Hence, roots of the equation are imaginary.

Pls mark my answer as brainlist

Pls follow me

Discussion

2.	How many terms are there in A.P 3,6,9,.....111
Answer» ANSWER: n = 37 Step-by-step explanation: a = 3 d = 6 - 3 = 3 an = a + (n - 1) d 111 = 3 + (n - 1) 3 111 = 3 + 3n - 3 111 = 3n n = 37 Pls MARK my answer as brainlist Pls follow me

2.

How many terms are there in A.P 3,6,9,.....111

Answer»

ANSWER:

n = 37

Step-by-step explanation:

a = 3

d = 6 - 3 = 3

an = a + (n - 1) d

111 = 3 + (n - 1) 3

111 = 3 + 3n - 3

111 = 3n

n = 37

Pls MARK my answer as brainlist

Pls follow me

Discussion

3.	Expanded form of 99
Answer» Answer: 9+10+1 Step-by-step EXPLANATION: MAY it WOULD be HELPFUL to you

3.

Expanded form of 99

Answer»

Answer:

9+10+1

Step-by-step EXPLANATION:

MAY it WOULD be HELPFUL to you

Discussion

4.	The sum of three consective natural number is 36 .what are the numbers
Answer» Step-by-step EXPLANATION: let smaller CONSECUTIVE natural NUMBER be x thus, other consecutive natural numbers are x+1,x+2 sum of natural numbers =36 x+x+1+x+2=36 3x+3 =36 3x=33 x=11 therefore, smaller consecutive natural number is 11 so remaining two are 11+1,11+2 so numbers are 11,12,13 let us CHECK the correctness of answer by 11+12+13=36 36=36 means answer is CORRECT

4.

The sum of three consective natural number is 36 .what are the numbers

Answer»

Step-by-step EXPLANATION:

let smaller CONSECUTIVE natural NUMBER be x

thus,

other consecutive natural numbers are x+1,x+2

sum of natural numbers =36

x+x+1+x+2=36

3x+3 =36

3x=33

x=11

therefore, smaller consecutive natural number is 11

so remaining two are 11+1,11+2

so numbers are 11,12,13

let us CHECK the correctness of answer by

11+12+13=36

36=36

means answer is CORRECT

Discussion

5.	Please tell this solution of of following equationn^2-13n+100=0
Answer» ANSWER: THIS QUESTION DOES NOT MAKE SENSE

5.

Please tell this solution of of following equationn^2-13n+100=0

Answer»

ANSWER:

THIS QUESTION DOES NOT MAKE SENSE

Discussion

6.	Standard form of rational number 24/-36
Answer» ANSWER: g Step-by-step EXPLANATION: *fjgg5gyuyy* *4rgjrr* *yfhf4*

6.

Standard form of rational number 24/-36

Answer»

ANSWER:

g

Step-by-step EXPLANATION:

fjgg5gyuyy 4rgjrr yfhf4

Discussion

7.	If alpha+beta=π/4,prove that(1+tan alpha)(1+tan beta)=2.please help it's urgent.....
Answer» ANSWER: answer for the GIVEN PROBLEM is given

7.

If alpha+beta=π/4,prove that(1+tan alpha)(1+tan beta)=2.please help it's urgent.....

Answer»

ANSWER:

answer for the GIVEN PROBLEM is given

Discussion

8.	Expand the following ( x + 2/x)^2
Answer» ANSWER: answer is x²+4/x+4 Step-by-step EXPLANATION: (x+2/x)² (a+b)²=a²+b²+2ab here, a is x b is 2/x x²+(2/x)²+2x2/x x²+4/x+4 hope it helps you Mark as brainliest...

8.

Expand the following ( x + 2/x)^2

Answer»

ANSWER:

answer is x²+4/x+4

Step-by-step EXPLANATION:

(x+2/x)²

(a+b)²=a²+b²+2ab

here,

a is x

b is 2/x

x²+(2/x)²+2*x*2/x

x²+4/x+4

hope it helps you

Mark as brainliest...

Discussion

9.	Divide the polynomial p(x) = 4x⁵+3x⁴-2x³+4x²-7x+2 by (x-1) by long division method
Answer» Answer: 4x^4+x^3+x^2+5x-2 is the QUOTIENT

9.

Divide the polynomial p(x) = 4x⁵+3x⁴-2x³+4x²-7x+2 by (x-1) by long division method

Answer»

Answer:

4x^4+x^3+x^2+5x-2 is the QUOTIENT

Discussion

10.	Check whether 904654 is divisible by 6 and 12
Answer» ANSWER: No it is not DIVISIBLE by 6 and 12.

10.

Check whether 904654 is divisible by 6 and 12

Answer»

ANSWER:

No it is not DIVISIBLE by 6 and 12.

Discussion

11.	Write in standard form questions 0.000003678,1231700000000,5000000000000
Answer» Step-by-step explanation: 1... 3.678X10^-6 2.. 1.2317X10^12 3...5.0X10^12 HOPE it HELPS...

11.

Write in standard form questions 0.000003678,1231700000000,5000000000000

Answer»

Step-by-step explanation:

1... 3.678X10^-6

2.. 1.2317X10^12

3...5.0X10^12

HOPE it HELPS...

Discussion

12.	In an ap the p th term is q and the (p+q)th term is zero find the q th term
Answer» <P>Answer: 1 Step-by-step EXPLANATION: What would you like to ask? MATHS avatar Asked on October 15, 2019 by Iksha Vïvəķ In a H.P. pth term is q and qth term is p. Then the pqth term is Share Study later VIDEO EXPLANATION ANSWER Solution: Given that: t p =q,t q =p To FIND: t pq =? Solution: LET, a be first term and d is common difference of an A.P. t p =q⟹ a+(p−1)d 1 =q⟹a+(p−1)d= q 1 ............(i) and t q =p⟹ a+(q−1)d 1 =p⟹a+(q−1)d= p 1 .................(ii) Subtracting EQUN (ii) from (i), we get (p−q)d= q 1 − p 1 ⟹(p−q)d= pq p−q or, d= pq 1 Putting value of d in eqn(i), we get a= pq 1 Now, t pq = a+(pq−1)d 1 = pq 1 +(pq−1) pq 1 1 = 1+pq−1 pq = pq pq =1 Hence, C is the correct option.

12.

In an ap the p th term is q and the (p+q)th term is zero find the q th term

Answer»

<P>Answer:

1

Step-by-step EXPLANATION:

What would you like to ask?

MATHS

avatar

Asked on October 15, 2019 by

Iksha Vïvəķ

In a H.P. pth term is q and qth term is p. Then the pqth term is

Share

Study later

VIDEO EXPLANATION

ANSWER

Solution:

Given that: t

p

=q,t

q

=p

To FIND: t

pq

=?

Solution:

LET, a be first term and d is common difference of an A.P.

t

p

=q⟹

a+(p−1)d

1

=q⟹a+(p−1)d=

q

1

............(i) and

t

q

=p⟹

a+(q−1)d

1

=p⟹a+(q−1)d=

p

1

.................(ii)

Subtracting EQUN (ii) from (i), we get

(p−q)d=

q

1

−

p

1

⟹(p−q)d=

pq

p−q

or, d=

pq

1

Putting value of d in eqn(i), we get

a=

pq

1

Now,

t

pq

=

a+(pq−1)d

1

=

pq

1

+(pq−1)

pq

1

=

1+pq−1

pq

=

pq

=1

Hence, C is the correct option.

Discussion

13.	Find the smallest number with which 5182 should be multiplied, so that the product is a perfect square.
Answer» Answer: By this process you can TRY... *Hope* it *HELPS* *you* :) Step-by-step explanation: FACTORIZE 4802 then MAKE pairing. 98=2∗7∗7 so, smallest no is 2 that should be MULTIPLES to get perfect square. so perfect square will be 196. square root will be 14. *Plz* *mark* me as *brainliest*....

13.

Find the smallest number with which 5182 should be multiplied, so that the product is a perfect square.

Answer»

Answer:

By this process you can TRY...

Hope it HELPS you :)

Step-by-step explanation:

FACTORIZE 4802 then MAKE pairing.

98=2∗7∗7

so, smallest no is 2 that should be MULTIPLES to get perfect square.

so perfect square will be 196.

square root will be 14.

Plz mark me as brainliest....

Discussion

14.	The perimeter of rectangle having length 2 /3mand breadth 3/4m is
Answer» ANSWER: PERIMETER of rectangle=2(l+b) =2(2/3+3/4) =2(8+9/12) =2(17/12) =17/6 m

14.

The perimeter of rectangle having length 2 /3mand breadth 3/4m is

Answer»

ANSWER:

PERIMETER of rectangle=2(l+b)

=2(2/3+3/4)

=2(8+9/12)

=2(17/12)

=17/6 m

Discussion

15.	Evaluate a^3b^4 /3√a^4b^3
Answer» ANSWER: i will ngd6yfrgvhydbk

15.

Evaluate a^3b^4 /3√a^4b^3

Answer»

ANSWER:

i will ngd6yfrgvhydbk

Discussion

16.	17 : 37 :365 : ?How to solve this number series ..
Answer» ANSWER: SORRY L don't KNOW the answer

16.

17 : 37 :365 : ?How to solve this number series ..

Answer»

ANSWER:

SORRY L don't KNOW the answer

Discussion

17.	Find the zeros of the polynomial (8x²-4) and verify the relationship between the zeros and the coefficient
Answer» Answer: I HOPE it HELP you please follow me.. And MARK as BRILLIANT

17.

Find the zeros of the polynomial (8x²-4) and verify the relationship between the zeros and the coefficient

Answer»

Answer:

I HOPE it HELP you

please follow me..

And MARK as BRILLIANT

Discussion

18.	If sec-¹x+sec-¹y=π/2, then the value of Cosec-¹x+cosec-¹y is
Answer» ANSWER: π/2 Step-by-step EXPLANATION: sec-¹x+cosec-¹x=π/2

18.

If sec-¹x+sec-¹y=π/2, then the value of Cosec-¹x+cosec-¹y is

Answer»

ANSWER:

π/2

Step-by-step EXPLANATION:

sec-¹x+cosec-¹x=π/2

Discussion

19.	The sum of two integers is - 56 if one of the integers is -19 the other integers
Answer» ANSWER: -37 Step-by-step explanation: LET other integer be x . x + (-19) = -56 x=-56+19 x= -37

19.

The sum of two integers is - 56 if one of the integers is -19 the other integers

Answer»

ANSWER:

-37

Step-by-step explanation:

LET other integer be x .

x + (-19) = -56

x=-56+19

x= -37

Discussion

20.	The nth term of an arithmetic sequence is 3_5n.Write first term and common difference?
Answer» Step-by-step explanation: UM of first n terms of an arithmetic sequence is 3n 2 +n. Let a 1 denotes first TERM of the sequence, a 2 denotes second term of the sequence, d denotes common difference of the sequence, S n denotes sum of first n terms of the sequence. S n =3n 2 +n S 1 =a 1 =3(1) 2 +1=4 S 2 =a 1 +a 2 =3(2) 2 +2=14 ∴a 1 +a 2 =14 ∴a 1 +a 1 +d=14 ∴2a 1 +d=14 ∴2(4)+d=14 ∴d=6 First term of the sequence is 4 and common difference is 6.

20.

The nth term of an arithmetic sequence is 3_5n.Write first term and common difference?

Answer»

Step-by-step explanation:

UM of first n terms of an arithmetic sequence is 3n

2

+n.

Let a

1

denotes first TERM of the sequence,

a

2

denotes second term of the sequence,

d denotes common difference of the sequence,

S

n

denotes sum of first n terms of the sequence.

S

n

=3n

2

+n

S

1

=a

1

=3(1)

2

+1=4

S

2

=a

1

+a

2

=3(2)

2

+2=14

∴a

1

+a

2

=14

∴a

1

+a

1

+d=14

∴2a

1

+d=14

∴2(4)+d=14

∴d=6

First term of the sequence is 4 and common difference is 6.

Discussion

21.	What is the longest tape that can be used to measure 4cm 20 cm,2m 40cm,and 3m 60 cm
Answer» ANSWER: LONGEST TAPE is : 10m20cm Explanation step by step to find the LENGTH of tape , add all tape: 4m20cm+2m40cm+3m60cm= 10m20cm

21.

What is the longest tape that can be used to measure 4cm 20 cm,2m 40cm,and 3m 60 cm

Answer»

ANSWER:

LONGEST TAPE is : 10m20cm

Explanation step by step

to find the LENGTH of tape , add all tape:

4m20cm+2m40cm+3m60cm= 10m20cm

Discussion

22.	What is linear equation in one variable
Answer» Answer: MEANS : Step-by-step EXPLANATION: FIND the nuber with the use of LETTERS like: 3x+4=7

22.

What is linear equation in one variable

Answer»

Answer:

MEANS :

Step-by-step EXPLANATION:

FIND the nuber with the use of LETTERS like:

3x+4=7

Discussion

23.	2. The value of 8892 -8902(a)1779(b) 1889
Answer» ANSWER: HEY mate you questions is INAPPROPRIATE please CHEAK your QUESTION again

23.

2. The value of 8892 -8902(a)1779(b) 1889

Answer»

ANSWER:

HEY mate you questions is INAPPROPRIATE please CHEAK your QUESTION again

Discussion

24.	5. If 2 is a zero of p(x) then (x-2) is a _ ofp(x)
Answer» Answer: The United States withdrew from the Vietnam War for several reasons. The ARMY had to fight in unfamiliar territory, was lacking in moral, were not PREPARED for the conditions, could not SHUT down the Ho CHI Minh Trail, and were untrained to respond to guerilla warfare.plz *follow me. Step-by-step explanation:* j

24.

5. If 2 is a zero of p(x) then (x-2) is a _ ofp(x)

Answer»

Answer:

The United States withdrew from the Vietnam War for several reasons. The ARMY had to fight in unfamiliar territory, was lacking in moral, were not PREPARED for the conditions, could not SHUT down the Ho CHI Minh Trail, and were untrained to respond to guerilla warfare.plz follow me.

Step-by-step explanation:

j

Discussion

25.	(i) x. y and z are three real numbers. Ifx
Answer» SEE the PICTURE in DIFFERENT ANGLE

Discussion

26.	Rationalise 1 by 7+3√2 Tell this sum
Answer» Step-by-step EXPLANATION: its my PLEASURE to HELP you. please MARK me as a BRAINLIEST.

26.

Rationalise 1 by 7+3√2 Tell this sum

Answer»

Step-by-step EXPLANATION:

its my PLEASURE to HELP you.

please MARK me as a BRAINLIEST.

Discussion

27.	Find the lcm of 108 135 162
Answer» Answer: 810 is the L.C.M. of 108,135,162. Step-by-step explanation: 3 \| 108,135,162 3 \| 36,45,54 3 \| 12,15,18 3 \| 4,5,6 2 \| 4,5,2 \| 2,5,1 => LEAST COMMON MULTIPLE of 108,135,162 =>3×3×3×3×2×5×2=>1620

27.

Find the lcm of 108 135 162

Answer»

Answer:

810 is the L.C.M. of 108,135,162.

Step-by-step explanation:

3 | 108,135,162

3 | 36,45,54

3 | 12,15,18

3 | 4,5,6

2 | 4,5,2

| 2,5,1 => LEAST COMMON MULTIPLE of 108,135,162 =>3×3×3×3×2×5×2=>1620

Discussion

28.	Pls help ans is a+b but idk how to get it
Answer» Answer: GIVEN EXPRESSION is $\frac{ {a}^{ - 1} + {b}^{ - 1} }{ {ab}^{ - 1} }$ $= \frac{ \frac{1}{a} + \frac{1}{b} }{ \frac{1}{ab} }$ TAKING lcm in numerator, $= \frac{ \frac{a + b}{ab} }{ \frac{1}{ab} }$ $= \frac{(a + b)ab}{ab}$ $= a + b$

28.

Pls help ans is a+b but idk how to get it

Answer»

Answer:

GIVEN EXPRESSION is

$\frac{ {a}^{ - 1} + {b}^{ - 1} }{ {ab}^{ - 1} }$

$= \frac{ \frac{1}{a} + \frac{1}{b} }{ \frac{1}{ab} }$

TAKING lcm in numerator,

$= \frac{ \frac{a + b}{ab} }{ \frac{1}{ab} }$

$= \frac{(a + b)ab}{ab}$

$= a + b$

Discussion

29.	10. Define three laws of motion and give one example for each.
Answer» Answer: three LAWS of mechanics describing the motion of a body. The first lawstates that a body remains at rest or in uniform motion in a straight line unless acted UPON by a force. The second law STATES that a body's rate of change of momentum is PROPORTIONAL to the force causing it.The third law states that when a force acts on a body due to another body, then an equal and OPPOSITE force acts simultaneously on that body. PUT ME TO BRAINLIEST.

29.

10. Define three laws of motion and give one example for each.

Answer»

Answer:

three LAWS of mechanics describing the motion of a body. The first lawstates that a body remains at rest or in uniform motion in a straight line unless acted UPON by a force. The second law STATES that a body's rate of change of momentum is PROPORTIONAL to the force causing it.The third law states that when a force acts on a body due to another body, then an equal and OPPOSITE force acts simultaneously on that body. PUT ME TO BRAINLIEST.

Discussion

30.	Find the zeros on the polynomial PX is equal to x square - 2x -8
Answer» ANSWER: x^2-2x-8=0 x^2-4x+2x-8=0 x(x-4)+2(x-4)=0 (x-4)(x+2)=0 x=4,-2

30.

Find the zeros on the polynomial PX is equal to x square - 2x -8

Answer»

ANSWER:

x^2-2x-8=0

x^2-4x+2x-8=0

x(x-4)+2(x-4)=0

(x-4)(x+2)=0

x=4,-2

Discussion

31.	Find the slope of the line perpendicular to AB where A(0,-5) and B(-2,40)
Answer» ANSWER: slope=y2-y1/x2-x1 -2+5/-5-40 =3/-45 =15

31.

Find the slope of the line perpendicular to AB where A(0,-5) and B(-2,40)

Answer»

ANSWER:

slope=y2-y1/x2-x1

-2+5/-5-40

=3/-45

=15

Discussion

32.	Express for battlefield express the ratio 12 to 18 in simplest form
Answer» Answer: Simplify ratios and REDUCE to simplest FORM. SIMPLIFYING ratios calculator shows WORK with steps. Solve ratios with whole NUMBERS, integers, decimal number..

32.

Express for battlefield express the ratio 12 to 18 in simplest form

Answer»

Answer:

Simplify ratios and REDUCE to simplest FORM. SIMPLIFYING ratios calculator shows WORK with steps. Solve ratios with whole NUMBERS, integers, decimal number..

Discussion

33.	True or False. 1. The square of 87 will have 3 at the units place ________________.
Answer» ANSWER: TRUE Step-by-step EXPLANATION: :D

33.

True or False. 1. The square of 87 will have 3 at the units place ________________.

Answer»

ANSWER:

TRUE

Step-by-step EXPLANATION:

:D

Discussion

34.	Find the solution g= G×2m/4r^2
Answer» ANSWER: PLEASE GIVE me the answer this question Step-by-step EXPLANATION:

34.

Find the solution g= G×2m/4r^2

Answer»

ANSWER:

PLEASE GIVE me the answer this question

Step-by-step EXPLANATION:

Discussion

35.	Pls help in solving this question in attachment
Answer» Step-by-step EXPLANATION: i THINK it will be smthin LIKE this

35.

Pls help in solving this question in attachment

Answer»

Step-by-step EXPLANATION:

i THINK it will be smthin LIKE this

Discussion

36.	7⁰ = 1 8⁰ = 10⁰ = 1 or 0
Answer» Answer: 7⁰ = 1 8⁰ = 1 0⁰ = 1 or 0 answer=1

36.

7⁰ = 1 8⁰ = 10⁰ = 1 or 0

Answer»

Answer:

7⁰ = 1

8⁰ = 1

0⁰ = 1 or 0

answer=1

Discussion

37.	guys plz answer the question correctly with option alphabet. so that i will mark you as brainliest and follow u ans give u thank and give 5 star rating
Answer» Answer: 20 ;D Step-by-step EXPLANATION:

37.

guys plz answer the question correctly with option alphabet. so that i will mark you as brainliest and follow u ans give u thank and give 5 star rating

Answer»

Answer:

20 ;D

Step-by-step EXPLANATION:

Discussion

38.	Log1/216 say the answer
Answer» ANSWER: steuitsteuitc ITU ryimrjyfh iyyrikyriyriyrjhf kutkutkutkutkutiutioiyiyliyoutout ylfulrulutputoruout Step-by-step EXPLANATION: steuitsteuitc itu ryimrjyfh iyyrikyriyriyrjhf kutkutkutkutkutiutioiyiyliyoutout ylfulrulutputoruoutsteuitsteuitc itu ryimrjyfh iyyrikyriyriyrjhf kutkutkutkutkutiutioiyiyliyoutout ylfulrulutputoruoutsteuitsteuitc itu ryimrjyfh iyyrikyriyriyrjhf kutkutkutkutkutiutioiyiyliyoutout ylfulrulutputoruoutsteuitsteuitc itu ryimrjyfh iyyrikyriyriyrjhf kutkutkutkutkutiutioiyiyliyoutout ylfulrulutputoruout

38.

Log1/216 say the answer

Answer»

ANSWER:

steuitsteuitc ITU ryimrjyfh iyyrikyriyriyrjhf kutkutkutkutkutiutioiyiyliyoutout

ylfulrulutputoruout

Step-by-step EXPLANATION:

steuitsteuitc itu ryimrjyfh iyyrikyriyriyrjhf kutkutkutkutkutiutioiyiyliyoutout

ylfulrulutputoruoutsteuitsteuitc itu ryimrjyfh iyyrikyriyriyrjhf kutkutkutkutkutiutioiyiyliyoutout

ylfulrulutputoruout

Discussion

39.	Anyone plzz solve it fast....
Answer» ANSWER: $\bold {According \: to \: Question }$ $= > \frac{<klux>1</klux> + \cos(<klux>0</klux>) - {sin}^{2} (0)}{sin(0) \: (1 + cos(0))} = cot(0)$ *We can* also write as:-** $\frac{1 + \cos(0) - {sin}^{2} (0) + {cos}^{2}(0) - {cos}^{2} (0) }{sin(0) \: (1 + cos(0))} = cot(0)$ here, $- ({sin}^{2} (0) - {cos}^{2} (0) )= - 1$ Therefore, it becomes:- $\frac{1 - 1 + cos(0) + {cos}^{2}(0) }{sin(0) \: (1 + cos(0))} = cot(0)$ $\frac{ cos(0) + {cos}^{2}(0) }{sin(0) \: (1 + cos(0))} = cot(0)$ $= > \frac{cos(0) \: (1 + cos(0))}{sin(0) \: (1 + cos(0))} = cot(0)$ Cancelling 1+ cos(0) by 1+ cos(0), we get:- $= > \frac{cos(0)}{ \sin(0) } = \cot(0)$ $= > \cos(0) = \cot(0)$ *Hence* *proved*:- $\tt {Additional \: Information}$ $= > { \cos }^{2} (0) + {sin}^{2} (0) = 1$ $= > 1 + {tan}^{2} (0) = {sec}^{2} (0)$ $= > {cot}^{2} (0) + 1 = {cosec}^{2} (0)$ hope it helps you... FOLLOW ME...

39.

Anyone plzz solve it fast....

Answer»

ANSWER:

$\bold {According \: to \: Question }$

$= > \frac{<klux>1</klux> + \cos(<klux>0</klux>) - {sin}^{2} (0)}{sin(0) \: (1 + cos(0))} = cot(0)$

We can also write as:-

$\frac{1 + \cos(0) - {sin}^{2} (0) + {cos}^{2}(0) - {cos}^{2} (0) }{sin(0) \: (1 + cos(0))} = cot(0)$

here,

$- ({sin}^{2} (0) - {cos}^{2} (0) )= - 1$

Therefore, it becomes:-

$\frac{1 - 1 + cos(0) + {cos}^{2}(0) }{sin(0) \: (1 + cos(0))} = cot(0)$

$\frac{ cos(0) + {cos}^{2}(0) }{sin(0) \: (1 + cos(0))} = cot(0)$

$= > \frac{cos(0) \: (1 + cos(0))}{sin(0) \: (1 + cos(0))} = cot(0)$

Cancelling 1+ cos(0) by 1+ cos(0), we get:-

$= > \frac{cos(0)}{ \sin(0) } = \cot(0)$

$= > \cos(0) = \cot(0)$

Hence proved:-

$\tt {Additional \: Information}$

$= > { \cos }^{2} (0) + {sin}^{2} (0) = 1$

$= > 1 + {tan}^{2} (0) = {sec}^{2} (0)$

$= > {cot}^{2} (0) + 1 = {cosec}^{2} (0)$

hope it helps you...
FOLLOW ME...

Discussion

40.	Construction of quadrilateral when two sides, two angles and one diagonal is given
Answer» ANSWER: SORRY I can't answer of this QUESTION

40.

Construction of quadrilateral when two sides, two angles and one diagonal is given

Answer»

ANSWER:

SORRY I can't answer of this QUESTION

Discussion

41.	2. X3-4x2+7x -4 is used to solve bydivision
Answer» ANSWER: PLEASE GIVE me the answer this question Step-by-step EXPLANATION:

41.

2. X3-4x2+7x -4 is used to solve bydivision

Answer»

ANSWER:

PLEASE GIVE me the answer this question

Step-by-step EXPLANATION:

Discussion

42.	Among the following a number divisible by 3 isa) 123b) 1234c) 2345d) 456711
Answer» ANSWER: a. Step-by-step EXPLANATION: a.

42.

Among the following a number divisible by 3 isa) 123b) 1234c) 2345d) 456711

Answer»

ANSWER: a.

Step-by-step EXPLANATION:

a.

Discussion

43.	UINx1 3 1 26 2 14 5х+хट्यूबेल 5 मल्टीप्लाई बाय माइनस 3 बाय 3 माइनस वन बाय 6 मल्टीप्लाई बाय 3 बाय टू प्लस वन बाय 40 मल्टीप्लाई बाय टू वाईफाई
Answer» Answer: following. (i) - 13 (ii) (-13),(19) (III) 1,5 (IV) (- 5), 8 xx (-3),7 (v) - 1 xx (-2),5 (vi) - 1.

43.

UINx1 3 1 26 2 14 5х+хट्यूबेल 5 मल्टीप्लाई बाय माइनस 3 बाय 3 माइनस वन बाय 6 मल्टीप्लाई बाय 3 बाय टू प्लस वन बाय 40 मल्टीप्लाई बाय टू वाईफाई

Answer»

Answer:

following. (i) - 13 (ii) (-13),(19) (III) 1,5 (IV) (- 5), 8 xx (-3),7 (v) - 1 xx (-2),5 (vi) - 1.

Discussion

44.	1) 3 by 5of a class of 45 are boys.Find the number of boys andgirls in the class.
Answer» ANSWER: just do 3/5 X 45 to find no of boys and subtract the 45 with that and the ANSER is YOURS!!! Step-by-step EXPLANATION: :D

44.

1) 3 by 5of a class of 45 are boys.Find the number of boys andgirls in the class.

Answer»

ANSWER:

just do 3/5 X 45 to find no of boys and subtract the 45 with that and the ANSER is YOURS!!!

Step-by-step EXPLANATION:

:D

Discussion

45.	Change the following complex numbers into polar form. 1+7i / (2-i)² .
Answer» SOLUTIONS:- Z => 1 + 7i / (2 - i)² => 1 + 7i / (2 - i)² => 1 + 7i / 4 + i² - 4i => 1 + 7i / 4 - 1 - 4i => 1 + 7i / 3 - 4i × 3 + 4i / 3 + 4i => 3 + 4i + 21i + 28i² / 3² + 4² => 3 + 4i + 21i - 28 / 3² + 4² => -25 + 25i / 25 => -1 + i Let rCos∅ = -1 and rSin∅ = 1 On SQUARING and adding, we obtain => r²(Cos²∅ + Sin²∅) = 2 => r² = 2 [Cos²∅ + Sin²∅ = 1] => r = √2 [Convertionally, r > 0] Therefore, √2Cos∅ = -1 and √2Sin∅ = 1 => Cos∅ = -1/√2 and Sin∅ = 1/√2 • ∅ = π - π/4 = 3π/4 [As ∅ lies in (ii) quadrant] Z => rCos∅ + i rSin∅ => √2Cos3π/4 + i √2Sin3π/4 => √2(Cos3π/4 + i Sin3π/4) This is the required polar form.

45.

Change the following complex numbers into polar form. 1+7i / (2-i)² .

Answer»

SOLUTIONS:-

Z => 1 + 7i / (2 - i)²

=> 1 + 7i / (2 - i)²

=> 1 + 7i / 4 + i² - 4i

=> 1 + 7i / 4 - 1 - 4i

=> 1 + 7i / 3 - 4i × 3 + 4i / 3 + 4i

=> 3 + 4i + 21i + 28i² / 3² + 4²

=> 3 + 4i + 21i - 28 / 3² + 4²

=> -25 + 25i / 25

=> -1 + i

Let rCos∅ = -1 and rSin∅ = 1

On SQUARING and adding, we obtain

=> r²(Cos²∅ + Sin²∅) = 2

=> r² = 2 [Cos²∅ + Sin²∅ = 1]

=> r = √2 [Convertionally, r > 0]

Therefore,

√2Cos∅ = -1 and √2Sin∅ = 1

=> Cos∅ = -1/√2 and Sin∅ = 1/√2

• ∅ = π - π/4 = 3π/4 [As ∅ lies in (ii) quadrant]

Z => rCos∅ + i rSin∅

=> √2Cos3π/4 + i √2Sin3π/4

=> √2(Cos3π/4 + i Sin3π/4)

This is the required polar form.

Discussion

46.	Hey!!ON SIMPLY 4√3√32 which option is right???_________
Answer» Step-by-step explanation: B is your ANSWER pls MARK me as brainliest and also follow me please

46.

Hey!!ON SIMPLY 4√3√32 which option is right???_________

Answer»

Step-by-step explanation:

B is your ANSWER

pls MARK me as brainliest and also follow me please

Discussion

47.	Expanded form of 75
Answer» Answer: 70+5 Step-by-step EXPLANATION: GIVEN number=75 Expanded FORM=(7×10)+(5×1)=70+5

47.

Expanded form of 75

Answer»

Answer:

70+5

Step-by-step EXPLANATION:

GIVEN number=75

Expanded FORM=(7×10)+(5×1)=70+5

Discussion

48.	9.10.14. A person invests 389856 in mutual funds, which is 26% of his annual income. What is his monthlying5. The difference between 54% of a number and 26% of the same number is 22526. What is 66% of that nun6. When 125 is subtracted from a number, it reduces to its 37.5 per cent. What is 25 per cent of this num7. A person spends 75% of his income. If his income increases by 20% and expenses increase by 15% thenthe per cent increase in his savings.8. A shopkeeper first increased the price of an article by 25% and then by 20%. What is the total per cent increA sum of 2236 is divided among A, B and C in such a way that A receives 25% more than C and Crece25% less than B. What is A's share in the amount?10. In a company, there are 75% skilled workers and the remaining are unskilled. 80% of skilled workers20% of unskilled workers are permanent. If the number of temporary workers is 126, then what is themnumber of workers?11. Ravi scored 30% marks and failed by 15 marks. Deepak scored 40% marks and obtained 35 marks morethose required to pass. Find the minimum per cent pass marks.12. Two candidates fought an election. One of them got 62% of the total votes and won by 432 votes. Whattotal number of votes polled?13. In an election between two persons, 68 votes were declared invalid.The winning person got 52% and w98 votes. Find the total number of votes polled.PROFIT AND LOSSYou have already studied this topic in previous classes. We will take up some harder problems here. Ben
Answer» ANSWER: HELLO Step-by-step EXPLANATION:

48.

9.10.14. A person invests 389856 in mutual funds, which is 26% of his annual income. What is his monthlying5. The difference between 54% of a number and 26% of the same number is 22526. What is 66% of that nun6. When 125 is subtracted from a number, it reduces to its 37.5 per cent. What is 25 per cent of this num7. A person spends 75% of his income. If his income increases by 20% and expenses increase by 15% thenthe per cent increase in his savings.8. A shopkeeper first increased the price of an article by 25% and then by 20%. What is the total per cent increA sum of 2236 is divided among A, B and C in such a way that A receives 25% more than C and Crece25% less than B. What is A's share in the amount?10. In a company, there are 75% skilled workers and the remaining are unskilled. 80% of skilled workers20% of unskilled workers are permanent. If the number of temporary workers is 126, then what is themnumber of workers?11. Ravi scored 30% marks and failed by 15 marks. Deepak scored 40% marks and obtained 35 marks morethose required to pass. Find the minimum per cent pass marks.12. Two candidates fought an election. One of them got 62% of the total votes and won by 432 votes. Whattotal number of votes polled?13. In an election between two persons, 68 votes were declared invalid.The winning person got 52% and w98 votes. Find the total number of votes polled.PROFIT AND LOSSYou have already studied this topic in previous classes. We will take up some harder problems here. Ben

Answer»

ANSWER:

HELLO

Step-by-step EXPLANATION:

Discussion

49.	Cos^2A+cosA=1 ; 4sin^2A+4sin^4A+2=?
Answer» Answer: $cos {}^{2} \alpha + cos \alpha = 1$ $cos {}^{2} \alpha = 1 - cos \: \alpha$ $1 - sin {}^{2} \alpha = 1 - cos \: \alpha$ $cos \: \alpha = sin {}^{2} \alpha ......(i)$ Now we have to find, $4sin {}^{2} \alpha + 4sin {}^{4} \alpha + 2 =$ Using eq. (i) , $4 \cos( \alpha ) + 4 \cos {}^{2} ( \alpha ) + 2 = 4( \cos \alpha + \cos {}^{2} \alpha ) + 2 \: .......(ii)$ From given QUESTION, REPLACING the VALUE in eq. (ii) $4(1) + 2 = 6 \: \: ans.$ HOPE this helps you. Pls Mark BRAINLIEST. THANKS

49.

Cos^2A+cosA=1 ; 4sin^2A+4sin^4A+2=?

Answer»

Answer:

$cos {}^{2} \alpha + cos \alpha = 1$

$cos {}^{2} \alpha = 1 - cos \: \alpha$

$1 - sin {}^{2} \alpha = 1 - cos \: \alpha$

$cos \: \alpha = sin {}^{2} \alpha ......(i)$

Now we have to find,

$4sin {}^{2} \alpha + 4sin {}^{4} \alpha + 2 =$

Using eq. (i) ,

$4 \cos( \alpha ) + 4 \cos {}^{2} ( \alpha ) + 2 = 4( \cos \alpha + \cos {}^{2} \alpha ) + 2 \: .......(ii)$

From given QUESTION, REPLACING the VALUE in eq. (ii)

$4(1) + 2 = 6 \: \: ans.$

HOPE this helps you. Pls Mark BRAINLIEST. THANKS

Discussion

50.	If U={1,2,3,4,5,6,7,8,9,10}A={3,7,8,10} then which is A of the following
Answer» A is the SUBSET of U. because U have all the NUMBER which are PRESENT in A.

Discussion

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guys plz answer the question correctly with option alphabet. so that i will mark you as brainliest and follow u ans give u thank and give 5 star rating​

Log1/216 say the answer​

Anyone plzz solve it fast....​

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SORRY I can't answer of this QUESTION

2. X3-4x2+7x -4 is used to solve bydivision​

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1) 3 by 5of a class of 45 are boys.Find the number of boys andgirls in the class.

Change the following complex numbers into polar form. 1+7i / (2-i)² .​

SOLUTIONS:-

On SQUARING and adding, we obtain

Therefore,

This is the required polar form.

Hey!!ON SIMPLY 4√3√32 which option is right???_________​

B is your ANSWER

pls MARK me as brainliest and also follow me please

Expanded form of 75​

Cos^2A+cosA=1 ; 4sin^2A+4sin^4A+2=?​

Now we have to find,

Using eq. (i) ,

From given QUESTION, REPLACING the VALUE in eq. (ii)

HOPE this helps you. Pls Mark BRAINLIEST. THANKS

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