Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The normals drawn at three points to a parabola y 2 = 8x are concurrent at (3,4). Then the product of the ordinates of the points is
Text Solution
Verified by ExpertsThe correct answer is:
D
Equation of normal to the parabola y+xt = 2at + at 3 . This passes through (3, 4)
∴ ∴ 4+3t = 4t + 2t 3 ⇒ ⇒ 2t
3 + t – 4 = 0.
∴ ∴ t 1 . t 2 .t 3 =
(product of roots).
∴ ∴
= 
= 8.8.2 = 128
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