Home
Class 12
MATHS
If f(x)=sin^(-1)((2x)/(1+x^(2))), then ...

If `f(x)=sin^(-1)((2x)/(1+x^(2))),` then Statement I The value of `f(2)=sin^(-1)((4)/(5))`. Statement II `f(x)=sin^(-1)((2x)/(1+x^(2)))=-2,` for `xlt1`

A

Both statement I and Statement II are correct and Statement II is the correct explanation of Statement I

B

Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I

C

Statement I is correct but Statement II is incorrect

D

Statement II is correct but Statement I is incorrect.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the domain for f(x)=sin^(-1)((1+x^2)/(2x))

Range of sin^(-1)((x^(2)+1)/(x^(2)+2)) is

If f(x)=sin^(-1)(3x-4x^(3)). Then answer the following The value of f'((1)/(sqrt2)) , is

Find the domain for f(x)=sin^(-1)((x^(2))/(2)) .

If y=cos^(-1)((1-x^(2))/(1+x^(2))), then Statement I (dy)/(dx)=(2)/(1+x^(2)) for x"inR Statement II cos^(-1)((1-x^(2))/(1+x^(2)))={(2tan^(-1)x,,x>=0,),(-2tan^(-1)x,,xlt0,):} (a)Both statement I and Statement II are correct (b)Statement I is correct but Statement II is incorrect

Discuss the differentiability of f(x) = sin^(-1)((2x)/(1+x^(2)))

"If "f(x)=(x-1)^(4)(x-2)^(3)(x-3)^(2)(x-4), then the value of f'''(1)+f''(2)+f'(3)+f'(4) equals

Let f(x) = tan^(-1)(((x-2))/(x^(2)+2x+2)) ,then 26 f'(1) is

Range of f(x) =sin^-1(sqrt(x^2+x+1)) is

f(x)=sin^(-1)((3-2x)/5)+sqrt(3-x) .Find the domain of f(x).