JEE Main 2020 — Parabola Question with Solution
From: JEE Main 2020 (Online) 2nd September Evening Slot
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 :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let A = (2t2
, 4t)
B = (2t2 , -4t) (by symmetry as equilateral triangle)
tan 30o = =
t = 2
AB = 8t = 16
Area of equilateral =
=
B = (2t2 , -4t) (by symmetry as equilateral triangle)
tan 30o = =
t = 2
AB = 8t = 16
Area of equilateral =
=
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