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CGP EDU Academic Team
Published on: August 14, 2026
Let points A 1 , A2 and as lie on the parabola y 2 = 8x. If 
A 1 A 2 A 3 is an equilateral triangle and normals at points A 1 , A 2 and A 3 on this parabola meet at the point (h, 0), then the value of h is
Text Solution
Verified by ExpertsThe correct answer is:
D
28
One of the normal from (h, 0) on the parabola y 2 = 8x is y = 0
hence, assume a 3 = (0, 0)
Let, 
and 
Then, the slope of 
is 
tan30° 
The equation of the normal at A 1 is 
Putting (h, 0) in the above equation, we get,
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