JEE Main 2020MathematicsParabolaMediumMCQ

JEE Main 2020 — Parabola Question with Solution

JEE Main 2020 (02 Sep Shift 2)

Question

 The area (in sq. units) of an equilateral triangle inscribed in the parabola y2=8x, with one of its vertices on the vertex of this parabola is

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Show full solutionCorrect option: C
Correct answer
C1923

Step-by-step explanation

 

y2=8x,a=2 

A≡2t2,2(2)t≡2t2,4t

 tan30°=4t2t2=2t=13

 t=23 

Area of ΔOAB=2·ΔOMA=2·12·2t2(4t)=8t3=8(23)3=1923

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About this question

This is a previous-year question from JEE Main 2020, 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.