JEE Main 2022MathematicsParabolaQuestion Based On Basic Definition And Parametric RepresentationmediumMCQ

JEE Main 2022Parabola Question with Solution

From: JEE Main 2022 (Online) 24th June Evening Shift

Question

A particle is moving in the xy-plane along a curve C passing through the point (3, 3). The tangent to the curve C at the point P meets the x-axis at Q. If the y-axis bisects the segment PQ, then C is a parabola with :

Choose an option

Show full solutionCorrect option: A
Correct answer
Alength of latus rectum 3

Step-by-step explanation

According to the question (Let P(x, y))

( equation of tangent at )

this curve passes through (3, 3)

c = 3

required parabola and L.R = 3

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About this question

This is a previous-year question from JEE Main 2022, 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.