Let y = y(x) be a function of x satisfying y 1-x^2 =k-x 1-y^2 where k is a constant and y ( 1 2 )=- 1 4 ....

Question

Let y = y(x) be a function of x satisfying y 1-x^2 =k-x 1-y^2 where k is a constant and y ( 1 2 )=- 1 4 . Then dy dx at x= 1 2 , is equal to:

Accepted Answer

(D)

JEE Main 2020 Mathematics question