Let C be the locus of the mirror image of a point on the parabola y^2=4x with respect to t…

Question

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

Accepted Answer

Image of y2 = 4x w.r.t. y = x is x2 = 4y

tangent from (2, 1)

xx1 = 2(y + y1)

2x = 2(y + 1)

x = y + 1

Solutions · 1