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CGP EDU Academic Team
Published on: August 13, 2026
If three normals are drawn from the point (c, 0) to the parabola y 2 = 4x and two of which are perpendicular, then the value of c is equal to
Text Solution
Verified by ExpertsThe correct answer is:
A
3
Equation of the normal in slope form is y = mx - 2m - m 3 which passes through (c, 0)
0 = mc - 2m - m 3
m 3 + (2 - c)m = 0
m = 0 or m 2 + (2 - c) = 0
m 1 m 2 = 
= -1
c = 3
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