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If P (theta) is a point on the ellipse...

If ` P (theta) ` is a point on the ellipse ` E (a gt b) ` , whose foci are S and S', then `SP.S'P = `

A

` a^(2) cos ^(2) theta + b^(2) sin^(2) theta `

B

`a^(2) cos^(2) theta - b^(2) sin^(2) theta `

C

`a^(2) sin^(2) theta - b^(2) cos^(2) theta `

D

`a^(2) sin^(2) theta + b^(2) cos^(2) theta `

Text Solution

Verified by Experts

The correct Answer is:
D
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
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  8. The radius of the circle passing through the foci of (x^(2))/(16) + (y...

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

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  10. For the ellipse 25x^(2) + 45y^(2) = 9,

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

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  12. Any point whose x and y co-ordinates satisfy the equations (1 - (x/...

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  13. Given A -= (0,-1) " and " B = (0,1) . If P (x,y) is a point satisfyi...

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  14. For the ellipse (x^(2))/(4) + (y^(2))/(3) = 1 , the ends of the two ...

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  15. If the equation (x^(2))/(16 -K) + (y^(2))/(5-K) = 1 represents an ell...

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  16. Perimeter of a triangle formed by any point on the ellipse (x^(2))/...

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  17. If P is any point on the ellipse (x^(2))/(25) + (y^(2))/(9) = 1 whose...

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  18. If a^(2) + b^(2) = 25 and a focus of the ellipse (x^(2))/(a^(2) ...

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

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  20. If the lines joining the foci of an ellipse to an end of its minor axi...

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