Home
Class 12
MATHS
If cos^(-1) ((1-x^2)/(1+x^2)) + cos^(-1)...

If `cos^(-1) ((1-x^2)/(1+x^2)) + cos^(-1) ((1-y^2)/(1+y^2))= (pi)/(2)`, where `xy lt 1`, then
a)`x-y-xy=1`
b)`x- y+ xy=1`
c)`x+y-xy=1`
d)`x+y+xy=1`

A

`x-y-xy=1`

B

`x- y+ xy=1`

C

`x+y-xy=1`

D

`x+y+xy=1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y_1-xy=1

Find dy/dx of y=cos^-1frac(1-x^2)((1+x^2)) , 0 < x < 1

cot^(-1)""(xy+1)/(x-y)+cot^(-1)""(yz+1)/(y-z)+cot^(-1)""(zx+1)/(z-x)=

Find the values of the following tan frac(1)(2) [sin^(-1)((2x)/(1+x^2))+ cos^(-1) ((1-y^2)/(1+y^2))],|x| lt 1, y gt 0 and x y lt 1

If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y_2-3xy_1-y=0

If cot^(-1)x+cot^(-1)y + cot^(-1) z = pi/2 , then x +y+z is also equal to a) 1/x+1/y+1/z b)xyz c) xy+yz+zx d)None of these

If cos^(-1) x + cos^(-1) y + cos^(-1)z=pi , then a) x^2+y^2+z^2+xyz=0 b) x^2+y^2+z^2+2xyz=0 c) x^2+y^2+z^2+xyz=1 d) x^2+y^2+z^2+2xyz=1

If y= (sin^(2)x)/(1+cot x)+ (cos^(2)x)/(1+tan x) , then y'(x) is equal to

If tan^(-1)(1/y)=-pi+cot^(-1)y , where y=x^2-3x+2 then find the value of x.