Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Three normals to the parabola 
are drawn through a point ( 
), then minimum value of 
is
} . Find 
.
Text Solution
Verified by ExpertsThe correct answer is:
2
2
The slope form of the normal to the parabola 
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 
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
If a double ordinate of the parabola be of length , then the angle between the lines joining the …
PQ is a double ordinate of the parabola . The locus of the points of trisection of PQ is
If the vertex of a parabola be at origin and directrix be , then its latus rectum is
The latus rectum of a parabola whose directrix is and focus is (3, – 4), is
The points on the parabola whose ordinate is three times the abscissa are
The points on the parabola whose focal distance is 4, are