If sin^(-1)(x^2-4x+5)+cos^(-1)(y^2-2y+2)...

If `sin^(-1)(x^2-4x+5)+cos^(-1)(y^2-2y+2)=pi/2` then find the value of `xa n dydot`

A

`x+y=3`

B

`xy=2`

C

`x-y=1`

D

`x-y=0`

Verified by Experts

The correct Answer is:

A, B, C

Similar Questions

Explore conceptually related problems

If sin^(-1)(x^(2)-4x+5)+cos^(-1)(y^(2)-2y+2)=(pi)/(2) then find the value of x and y.

If y=(sin^(-1)x cos^(-1)((x^2)/2))/(1+x^2) then find the value of y(1/2) + y(1/sqrt2) + y(-1/2) + y(-1/sqrt2)

If sin^(-1)x+sin^(-1)y+sin^(-1)z+sin^(-1)t=2 pi then find the value of x^(2)+y^(2)+z^(2)+t^(2)

If sin^(-1)x +cos^(-1)y +sin^(-1)z=2pi then 2x-z+y is :

If sin^(-1)x+sin^(-1)y=pi and x=ky then find the value of (39)^(2k)+5^(k)

If sin^(-1)x+sin^(-1)y=(pi)/(3) and cos^(-1)x+cos^(-1)y=(pi)/(6), find the values of x and y.

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3 pi)/(2), find the value of x^(2)+y^(2)+z^(2)

If (sin^(-1)x)^(2)+(sin^(-1)y)^(2)+(sin^(-1)z)^(2)=(3)/(4)pi^(2), find the value of x^(2)+y^(2)+z^(2)

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, where -1<=x,y,z<=1, then find the value of x^(2)+y^(2)+z^(2)+2xyz