If the normal at P(2,233) meets the major axis of ellipse 16x2+9y2=1 at Q , and S and S′ are the foci of the given ellipse, then find the ratio SQ:SprimeQ˙

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If the normal at {P}{({2},{{{3}{{{3}}}}}{{2}})} meets the majo

Question

If the normal at $P (2, \frac{3 3}{2})$ meets the major axis of ellipse $\frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1$ at $Q$ , and $S$ and $S^{'}$ are the foci of the given ellipse, then find the ratio $S Q : S^{p r i m e} Q ˙$

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Benjamin Discussed

If the normal at

P (2, \frac{3 3}{2})

meets the major axis of ellipse

\frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1

Q

, and

S

and

S^{'}

are the foci of the given ellipse, then find the ratio

S Q : S^{p r i m e} Q ˙

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Question Text

If the normal at

P (2, \frac{3 3}{2})

meets the major axis of ellipse

\frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1

Q

, and

S

and

S^{'}

are the foci of the given ellipse, then find the ratio

S Q : S^{p r i m e} Q ˙