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Q.

PSQ is a focal chord of the parabola $y^{2} = 16 x .$ If $P = (1, 4)$ then $\frac{S P}{S Q}$

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a

1/4

b

1

c

3/4

d

1/2

answer is C.

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Detailed Solution

$\frac{1}{S P} + \frac{1}{S Q} = \frac{1}{a};$
$S = (4, 0) P (1, 4) Q (16, 6)$
$\frac{S P}{S Q} = \frac{5}{20} = \frac{1}{4}$

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