Let be the locus of the mirror image of a point on the parabola with respect to the line
MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions
Problem
Let C be the locus of the mirror image of a point on the parabola y2=4x with respect to the line y=x. Then the equation of tangent to C at P(2,1) is:
(a) x−y=1
(b) 2x+y=5
(c) x+3y=5
(d) x+2y=4