JEE Main 2022 — Parabola Question with Solution
From: JEE Main 2022 (Online) 25th July Evening Shift
Question
The tangents at the points and on the parabola meet at the point . Then the area (in unit ) of the triangle is :
Choose an option
Show full solutionCorrect option: D
Step-by-step explanation
Given curve : .
Can be written as
And, the given information can be plotted as shown in figure
Tangent at {using }
Intersection with is
Hence, point P is
Taking advantage of symmetry
Area of
= 8 sq. units
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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.