Let C be the locus of the mirror image of a point on the parabola y^2=4x with respect to the line y=x. Thenthe equation of tangent to C at P (2 ,1 )is :

Question

Accepted Answer

Correct answer: A. a JEE Main 2021 Given y^2=4x Mirror image on y=x ⇒C :x^2=4y 2x=4 dy dx ⇒ dy dx= x2 ( dy dx )_P (2 ,1 )= 22=1 Equation of tangent at (2 ,1 ) ⇒y-1=1 (x-2 ) ⇒x-y=1

$Let C be the locus of the mirror image of a point on the parabola y^{2} = 4 x with respect to the line y = x . Thenthe equation of tangent to C at P (2, 1) is :$

Solution

More Application of Derivatives PYQs