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Area of Polygon Using Coordinates

If P is a poi...

Question

If P is a point on the ellipse $9 x^{2} + 36 y^{2} = 324$ whose foci are S and S’. Then PS + PS’ =

A

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B

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C

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D

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Solution

The correct option is B
Given equation of the ellipse is $\frac{x^{2}}{36} + \frac{y^{2}}{9} = 1$
$∴$ $S P + S^{'} P = 2 a = 12$

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Similar questions

Q. P is any point on the ellipse

9 x^{2} + 36 y^{2} = 324

whose foci are S and S'. Then

S P + S^{'} P

P S Q

P S^{'} R

are two chords of an ellipse through its foci

S

S^{'}

\frac{P S}{S Q}, \frac{P S^{'}}{S^{'} R} =

P

is a point on the ellipse

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

P S + P S^{'} =

constant. Where

S

S^{'}

p (\frac{π}{6})

is a point on the ellipse

\frac{x^{2}}{36} + \frac{y^{2}}{9} = 1, S, S^{'}

are foci of ellipse then

| S p - S^{'} p | =

P

is a variable point on ellipse

9 x^{2} + 16 y^{2} = 144

S

S^{'} .

K

is the area of triangle

S S^{'} P,

then the maximum value of

K^{2}

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Area of Polygon Using Coordinates

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