Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If three normals can be drawn to the curve y 2 = x from point (c, 0) then 'c' can be equal to
A
0
B
– 
C
D
2
Text Solution
Verified by ExpertsThe correct answer is:
D
Equation of normal at (h 2 , h) is
y – h = – 2h(x – h 2 )
As it passes through (c, 0)
⇒ y – h = – 2h (c – h 2 ) ⇒ h 2 = c – 1/2 ⇒ c > 1/2
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