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10.2 parabola,ellipse,hyperbola — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS10.2 parabola,ellipse,hyperbola1 Mark
MCQ
Let $P Q$ 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 $\mathrm{Q}$ ?
  • A
    $(3,-3)$
  • B
    $\left(\frac{3}{2},-16\right)$
  • C
     $(2,-9)$
  • ✓
     $\left(\frac{1}{2},-20\right)$
✓

Answer

Correct option: D.
 $\left(\frac{1}{2},-20\right)$
d
$Image$

$ T=S_1 $

$ y-6(x+4) $

$ =1-48 $

$ 6 x-y=23$

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

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