Home
Class 12
MATHS
If x=tan ((1)/(2) sin ^(-1)((2t)/( 1+t^...

If ` x=tan ((1)/(2) sin ^(-1)((2t)/( 1+t^(2))) +(1)/(2)cos ^(-1) ((1-t^(2))/( 1+t^(2)))),`then `y= (2t)/( 1-t^(2)),` then `(dy)/(dx)=`

A

` -2`

B

2

C

1

D

-1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos
  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

If x =a ((1-t^(2))/( 1+ t^(2))),y =(2bt )/(1+t^(2) ),then (dy)/(dx) =

If x=a((1+t^(2))/(1-t^(2))) and y=(2t)/(1-t^(2)), find (dy)/(dx)

If x=a((1+t^(2))/(1-t^(2))) and y=(2t)/(1-t^(2)), find (dy)/(dx)

If x=(1-t^(2))/(1+t^(2))" and "y=(2t)/(1+t^(2))," then: "(dy)/(dx)|_(t=1) is

sinx = (2t)/(1+t^(2)), tan y = (2t)/(1-t^(2))

If x=(1-t^(2))/(1+t^(2)) and y=(2t)/(1+t^(2)) , then (dy)/(dx) is equal to

If sin x=(2t)/(1+t^(2)),tan y=(2t)/(1-t^(2)), find (dy)/(dx)

If x=(2t)/(1+t^(2)),y=(1-t^(2))/(1+t^(2))," then "(dy)/(dx)=

If sin x=(2t)/(1+t^(2)),tan y=(2t)/(1-t^(2)),quad find (dy)/(dx)