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Let `P` be a point on the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` of eccentricity `edot` If `A ,A '` are the vertices and `S ,S ` are the foci of the ellipse, then find the ratio area ` P S S ' '` : area ` A P A^(prime)dot`

A

`e^(3):1`

B

`e^(2):1`

C

`e:1`

D

`1//e:1`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-ELLIPSE-Exercise
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  3. Let P be a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 of ecc...

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  4. iger P(theta) and Q(pi/2 +theta) are two points on the ellipse x^2/a^2...

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  6. the centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 , i...

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  7. In an ellipse, the distances between its foci is 6 and minor axis is 8...

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  8. S and T are foci of an ellipse and B is an end of the minor a...

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  9. the length of the latusrectum of an ellipse is one thrid of its...

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  10. if the major axis of an ellipse is three times the length ...

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  11. the distance between the foci of the ellipse 5x^(2)+9y^(2)=45, is

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  12. the length of the latusrectum of the ellipse (x^(2))/(36)+(y^(2))/...

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  13. The co-ordinates of a focus of an ellipse is (4,0) and its eccentricit...

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  14. the equation of the ellipse passing through (2,1) having e=1/2...

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  15. If C is the centre of the ellipse 9x^(2) + 16y^(2) = 144 and S is one ...

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  16. In an ellipse the distance between the foci is 8 and the distance betw...

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  17. The centre of the ellipse 4x^(2) + 9y^(2) + 16x - 18y - 11 = 0 is

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  18. If P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are...

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  19. An ellipse is described by using an endless string which is passed ove...

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  20. Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=...

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