JEE Main 2024 — Parabola Question with Solution
From: JEE Main 2024 (Online) 1st February Morning Shift
Question
Let the line pass through the point of the intersection (in the first quadrant) of the circle and the parabola . Let the line touch two circles and of equal radius . If the centres and of the circles and lie on the -axis, then the square of the area of the triangle is equal to ___________.
Enter your answer
Show full solutionCorrect answer: 72
Correct answer
72
Step-by-step explanation
and
(Rejected) or
For
lies on the line
For circle
lies on axis
Let coordinates
(Given
Line act as tangent
Apply P (condition of tangency)
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This is a previous-year question from JEE Main 2024, 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.