Home
Class 12
MATHS
Column I: Function, Column II: Value ...

Column I: Function, Column II: Value of x for which both the functions in any option of column I are identical `f(x)=tan^(-1)((2x)/(1-x^2)),g(x)=2tan^(-1)x` , p. `x in {-1,1}` `f(x)=sin^(-1)(sinx)a n dg(x)="sin"(sin^(-1)x)` , q. `x in [-1,1]` `f(x)=(log)_(x2)25a n dg(x)=(log)_x5` , r. `x in (-1,1)` `f(x)=sec^(-1)x+cos e c^(-1)x ,g(x)=sin^(-1)x+cos^(-1)x` , s. `x in (0,1)`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the values of x for which the following pair of functions are identical. (i) f(x)=tan^(-1)x+cot^(-1)x " and " g(x)=sin^(-1)x +cos^(-1)x (ii) f(x)=cos(cos^(-1)x) " and " g(x)=cos^(-1)(cosx)

Find the value of x for which function are identical. f(x)=tan^(-1)x+tan^(-1)( 1/x ) and g(x)=sin^(-1)x+cos^(-1)x

If f(x)=sin^(-1)(cosec(sin^(-1)x))+cos^(-1)(sec(cos^(-1)x)) , then f(x) takes

Range of f(x)=cos^(- 1)x+2sin^(- 1)x+3tan^(- 1)x is

Find the value of x for which function are identical. f(x)=cosxa n dg(x)=1/(sqrt(1+tan^2x))

Which of the following functions are identical? (a)f(x)=1nx^2a n dg(x)=21nx (b)f(x)=(log)_x ea n dg(x)=1/((log)_e x) (c)f(x)="sin"(cos^(-1)x)a n dg(x)="cos"(sin^(-1)x) (d)non eoft h e s e

Which of the following pairs of functions is/are identical? (a) f(x)="tan"(tan^(-1)x)a n dg(x)="cot"(cot^(-1)x) (b) f(x)=sgn(x)a n dg(x)=sgn(sgn(x)) (c) f(x)=cot^2xdotcos^2xa n dg(x)=cot^2x-cos^2x (d) f(x)=e^(lnsec^(-1)x)a n dg(x)=sec^(-1)x

The domain of the function f(x)=cos^(-1)(sec(cos^-1 x))+sin^(-1)(cosec(sin^(-1)x)) is

If f ( x) = cos^(-1) ( cos ( x + 1) ) " and " g(x) = sin ^(-1) ( sin (x + 2)) , then

If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n discuss the continuity of f(x),g(x),a n dfog(x)dot