Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The condition for the line 
to be a normal to the parabola 
is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
: The equation of normal to the parabola 
at 
is
(i)
Since 
is the slope of the normal, then
or since 
lies on 
, therefore 
Substituting the values of 
and 
in (1) we get 
(ii)
Thus 
is a normal to the parabola 
where 
is the slope of the normal. The co-ordinates of the point of contact are 
comparing (2) with 
, which is the condition of normality when 
is the normal of 
.
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