Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The locus of the middle points of the focal chords of the parabola, y 2 = 4x is:
Text Solution
Verified by ExpertsThe correct answer is:
B
Eq. of chord is T = S 1
ky – 2(x + h) = k 2 – 4h ...(1)
above eq. passes through focus (1, 0)
∴ 0.k – 2(1 + h) = k 2 – 4h
–2 – 2x = y 2 – 4x
y 2 = 2(x –1)
──────────────────────────────────────────────────────────────────────────────────────────
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