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If two ellipse E ( a gt b ) "and " E ( ...

If two ellipse ` E ( a gt b ) "and " E ( alpha gt beta ) ` have the same eccentricity , then

A

`a alpha = b beta `

B

`a beta = b alpha `

C

`ab = alpha beta `

D

`a + alpha = b + beta `

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The correct Answer is:
B
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Distance between a focus and the corresponding directrix of an ellipse...

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  2. An ellipse , with principal axes along co-ordinate axes has eccentrici...

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  3. If two ellipse E ( a gt b ) "and " E ( alpha gt beta ) have the same...

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  4. If latus-rectum is one-third minor axis, then eccentricity of the elli...

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  5. If latus-rectum = ((1)/(2)) major axis, then e =

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  6. If latus-rectum = semi-minor axis, then e=

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  7. If (distance between directrices ) = 3 (distance between foci) , then ...

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  8. If m times distance between foci of an ellipse is equal to n times dis...

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  9. Can the distance between foci of an ellipse be equal to distance its d...

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  10. If eccentricities of a parabola and an ellipse are e and e' respective...

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  11. If eccentricities of a parabola and an ellipse are e and e' respective...

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  12. Co-ordinates of a point P((pi)/(3)) on the ellipse 16x^(2) + 25y^(2)...

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  13. foci of the ellipse x = 4 cos theta , y = 3 sin theta are

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  14. Focal distances of the point P (5, 4sqrt(3)) on the ellipse 64x^(2...

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  15. If a chord PQ , joining P (theta) " Q and " (phi) , of an ellipse (...

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

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  17. If a chord P(theta) Q(phi) of an ellipse (x^(2))/(a^(2)) + (y^(2))/(b...

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

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

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

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