Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A line y = x + 5 intersect the parabola (y – 3) 2 = 8(x + 2) at A & B. Find the length of chord AB.
Text Solution
Verified by ExpertsThe correct answer is:
A
(8 
)
Sol. y = x + 5 ⇒ y – 3 = x + 2
so (y – 3) 2 = 8(x + 2) ⇒ (x + 2) 2 = 8(x + 2) ⇒ x = – 2, 6
so A & B are (–2, 3) & (6, 11)
length of chord = 
= 8 
──────────────────────────────────────────────────────────────────────────────────────────
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