JEE Main 2021 — Parabola Question with Solution
From: JEE Main 2021 (Online) 16th March Evening Shift
Question
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 :
Choose an option
Show full solutionCorrect option: A
Correct answer
Ax y = 1
Step-by-step explanation
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
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This is a previous-year question from JEE Main 2021, covering the Parabola chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.