Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A normal with slope 
is drawn from the point to the parabola
, where 
. Let 
be the line passing through and parallel to the directrix of the parabola. Suppose that
intersects the parabola at two points 
and 
. Let 
denote the length of the latus rectum and 
denote the square of the length of the line segment 
. If 
, then the value of 
is ……….
Text Solution
Verified by ExpertsThe correct answer is:
12
(12)
Equation of normal
Equation of required line
, solving with 
──────────────────────────────────────────────────────────────────────────────────────────
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
PHYSICS
SECTION -1 (Maximum Marks : 12)
• This section contains FOUR (04) questions.
• Each questio…
A particle of mass is under the influence of the gravitational field of a body of mass . The part…
A metal target with atomic number is bombarded with a high energy electron beam. The emission of X…
A thin stiff insulated metal wire is bent into a circular loop with its two ends extending tangenti…
SECTION-2 ( Maximum Marks : 12)
• This section contains THREE (03) questions.
• Each question has F…
A table tennis ball has radius and mass . It is slowly pushed down into a swimming pool to a dept…