Published by:
CGP EDU Academic Team
Published on: August 14, 2026
An equilateral triangle is inscribed in the parabola y 2 = 4x one of whose vertex is at the vertex of the parabola, the length of each side of the triangle is -
A
/2
B
4 
/2
/2
C
8 
/2
/2
D
8 
Text Solution
Verified by ExpertsThe correct answer is:
D
Let A be the vertex and ABC be the equilateral triangle inscribed in the parabola y 2 = 4x, AM be perpendicular on BC.
Then if AB = l , AM = l cos 30 0
And BM = l sin 30 0 .
Thus the coordinates of B are ( l 
/2, l /2)
Since B lies on the parabola y 2 = 4x
⇒ ( l /2) 2 = 4 l 
/2
⇒ l = 8 
.
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