JEE Main 2023 — Parabola Question with Solution
From: JEE Main 2023 (Online) 10th April Morning Shift
Question
Let a common tangent to the curves and touch the curves at the points P and Q. Then is equal to __________.
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Show full solutionCorrect answer: 32
Correct answer
32
Step-by-step explanation
Tangent of slope to the parabola
is given by and
Tangent of slope to the circle is given by
For common tangent
On squaring both sides, we get
Then, the point of contact on parabola is
Length of tangent from on the circle is
is given by and
Tangent of slope to the circle is given by
For common tangent
On squaring both sides, we get
Then, the point of contact on parabola is
Length of tangent from on the circle is
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This is a previous-year question from JEE Main 2023, 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.