Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If P is a point on the parabola 
such that the subtangent and subnormal at P are equal, then the coordinates of P are
A
or 
B
or 
C
or 
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
Since the length of the subtangent at a point on the parabola is twice the abscissa of the point and the length of the subnormal is equal to semi-latus-rectum. Therefore if 
is the required point, then 
Now ( x , y ) lies on the parabola 
⇒ ⇒ 
⇒ ⇒ 
Thus the required points are 
and 
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