Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If two distinct chords drawn from the point (4, 4) on the parabola y 2 = 4ax are bisected on the line y = mx, then the set of value of m is given by-
A
B
R
C
(0, ∞ )
D
(–2, 2)
Text Solution
Verified by ExpertsThe correct answer is:
A
Any point on the line y = mx can be taken as (t, mt). Equation of the chord of parabola with this as mid point y m t – 2 (x + t) = m 2 t 2 – 4t It passes through (4, 4)
4mt – 2(4 + t) = m 2 t 2 – 4t
⇒ m 2 t 2 – 2 (2m + 1) t + 8 = 0 we want two such chords
D > 0 (2m + 1) 2 – 8 m 2 > 0
4m 2 – 4m – 1 < 0 ⇒ 
< m < 
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