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Mathematics · Parabola

JEE Main 2024 — 4 April, Shift 2 — Question 16

Let PQ be a chord of the parabola y2=12xy^{2}=12 x and the midpoint of PQ be at (4,1)(4,1). Then, which of the following point lies on the line passing through the points P and Q ?

  1. Option A:

    (3,−3)(3,-3)

  2. Option B:

    (32,−16)\left(\frac{3}{2},-16\right)

  3. Option C:

    (2,−9)(2,-9)

  4. Option D:

    (12,−20)\left(\frac{1}{2},-20\right)

    Correct

Answer: D

Step-by-step solution

T=S1\mathrm{T}=\mathrm{S}_{1}

y−6(x+4)\mathrm{y}-6(\mathrm{x}+4)

=1−48=1-48

6x−y=236 x-y=23

Option 4;(12,−20)4; \left(\frac{1}{2},-20\right) will satisfy

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Paper
4 April, Shift 2
Subject
Mathematics
Chapter
Parabola
Topic
Chords connected with a Parabola
Let PQ be a chord of the parabola y 2 =12 x and the midpoint of PQ be… | JEE Main 2024 PYQ with Solution · DhiX AI