Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Three normals to the parabola 
are drawn through a point ( C, 0), then
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
The slope form of the normal to the parabola 
is 
.
For the given curve 
we will have 
Hence the equation of the normal is 
If it passes through 
, then
or 
⇒ ⇒ 
For three normals, value of m should be real, ∴ ∴ 
.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The equation of represents
The number of points of intersection of the two curves and is
If the chord joining the points and of the parabola passes through the focus of the parabola, th…
The locus of the midpoint of the line segment joining the focus to a moving point on the parabola …
On the parabola , the point least distance from the straight line is
The length of the latus-rectum of the parabola whose focus is and directrix is , is