Home
Class 12
MATHS
If e^(x) = ( sqrt(1 + t) - sqrt( 1 - t)...

If ` e^(x) = ( sqrt(1 + t) - sqrt( 1 - t))/( sqrt(1 + t ) + sqrt(1 - t)) and tan "" (y)/( 2) = sqrt((1 - t)/( 1 + t)) , " then " (dy)/( dx )" at t " = (1)/( 2)` is

A

`-(1)/(2)`

B

`(1)/(2)`

C

0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If s = sec^(-1) ((1)/(2x^(2) - 1)) and t = sqrt(1 - x^(2)) , then (ds)/(d t) at x = (1)/(2) is

sqrt ((y)/(x)) + sqrt ((x)/(y))=1, then (dy)/(dx) equals

If x = ( 3t)/( 1 + t ^(3)) and y = ( 3 t ^(2))/( 1 +t ^(3)), then (dy)/(dx) at t =1 equals

If x = 2 cos t - cos 2 t and y =2 sin t - sin 2t, then (dy)/(dx) at t = (pi)/(2) is