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If P ( theta ) " and " Q (phi ) are two...

If ` P ( theta ) " and " Q (phi )` are two points on an ellipse
`(x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1` , such that chord PQ subtance a right
angle at its centre 'C' , then ` (1)/(CP^(2)) + (1) /(CQ^(2))` =

A

` a + b `

B

`1/a + 1/b`

C

`a^(2) + b^(2)`

D

`(1)/(a^(2)) + (1)/ (b^(2))`

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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  3. If P ( theta ) " and " Q (phi ) are two points on an ellipse (x^(2...

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  5. If P (theta) is a point on the ellipse E (a gt b) , whose foci are...

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  6. An ellipse , centred at the origin , has eccentricity 1/2 and one dire...

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  7. If distance between foci of an ellipse equals its latus-rectrum , then...

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  8. Find the sum of the focal distances of any point on the ellipse 9x^...

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  10. The radius of the circle passing through the foci of (x^(2))/(16) + (y...

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

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

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

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

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

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

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

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

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

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

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