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Question: Answered & Verified by Expert
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?
MathematicsParabolaJEE MainJEE Main 2024 (04 Apr Shift 2)
Options:
  • A $(3,-3)$
  • B $(2,-9)$
  • C $\left(\frac{3}{2},-16\right)$
  • D $\left(\frac{1}{2},-20\right)$
Solution:
1923 Upvotes Verified Answer
The correct answer is: $\left(\frac{1}{2},-20\right)$

$\begin{aligned}
& T=S_1 \\
& y-6(x+4) \\
& =1-48 \\
& 6 x-y=23
\end{aligned}$
Option $4\left(\frac{1}{2},-20\right)$ will satisfy

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