Published by:
CGP EDU Academic Team
Published on: August 13, 2026
An equilateral triangle is inscribed in the parabola y 2 = 4x, whose one vertex is at the vertex of the parabola. The length of its side is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Let A = (at 2 , 2at), B = (at 2 , -2at) are the other two vertices of the equilateral triangle.
∴ ∴ tan30 0 = 
⇒ ⇒ t = 2 
∴ ∴ The length of the side AB = 4at
= 4.2 
= 8 
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