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JEE Main 20244 AprilEvening Shift

Exam: JEE Main
Year: 2024
Date: 4 April
Shift: Evening Shift
Subject: Mathematics
Chapter: Parabola

JEE Main 2024 · 4 April · Evening Shift · Mathematics · Parabola

Let PQ be a chord of the parabola y^2=12 x and the midpoint of PQ...

Let PQ be a chord of the parabola

y^2=12 x

and the midpoint of PQ be at

(4,1)

. Then, which of the following point lies on the line passing through the points

\mathrm{P}

and Q?

Let PQ be a chord of the parabola y^2=12 x and the midpoint of PQ be at (4,1) . Then, which of the following point lies

Options

A $(3,-3)$
B $(2,-9)$
C $\left(\frac{3}{2},-16\right)$
D $\left(\frac{1}{2},-20\right)$

Correct answer

D. $\left(\frac{1}{2},-20\right)$

Step-by-step solution

Let PQ be a chord of the parabola y^2=12 x and the midpoint of PQ be at (4,1) . Then, which of the following point lies

\begin{aligned} & T=S_1 \\ & y-6(x+4) \\ & =1-48 \\ & 6 x-y=23 \end{aligned}

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

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