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From any point {P} lying in the first quadrant on the ellipse

Question

From any point $P$ lying in the first quadrant on the ellipse $\frac{x ^{2}}{25} + \frac{y ^{2}}{16} = 1, P N$ is drawn perpendicular to the major axis and produced at $Q$ so that $N Q$ equals to $P S,$ where $S$ is a focus. Then the locus of $Q$ is $5 y - 3 x - 25 = 0$ $3 x + 5 y + 25 = 0$ $3 x - 5 y - 25 = 0$ (d) none of these

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Noah Discussed

From any point

P

lying in the first quadrant on the ellipse

\frac{x ^{2}}{25} + \frac{y ^{2}}{16} = 1, P N

is drawn perpendicular to the major axis and produced at

Q

so that

N Q

equals to

P S,

where

S

is a focus. Then the locus of

Q

5 y - 3 x - 25 = 0

3 x + 5 y + 25 = 0

3 x - 5 y - 25 = 0

(d) none of these

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