JEE Main 2022 — Parabola Question with Solution
From: JEE Main 2022 (Online) 27th July Morning Shift
Question
Let be a point on the parabola such that the tangent at passes through the centre of the circle . Let be the product of all possible values of and be the product of all possible values of . Then the value of is equal to :
Choose an option
Show full solutionCorrect option: D
Step-by-step explanation
Centre of circle is at (5, 7).
Let the equation of tangent to is
which passes through (5, 7)
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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.