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JEE Math Practice Question

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

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

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