MHT CET202122 Sep 2021Morning ShiftMathematicsDifferentiationActual
If x= 1-t^2 1+t^2 and y= 2 a t 1+t^2 , then d y d x =
Options
- Aa ( t ^2+1 ) 2 t
- Ba (t^2-1 ) t
- Ca (1-t^2 ) 2 t
- Da (t^2-1 ) 2 t
Correct answer
D. a (t^2-1 ) 2 t
Step-by-step solution
We have x = 1- t ^2 1+ t ^2 and y = 2 at 1+ t ^2 Put t = x = 2 and y = a 2 d x d =-2 2 and d y d =2 a 2 d y d x = 2 a 2 -2 2 = -a 2 = -a ( 2 1- ^2 ) = - a ( 2 t 1- t ^2 ) = - a (1- t ^2 ) 2 t = a ( t ^2-1 ) 2 t