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If e' is the eccentricity of the ellipse...

If e' is the eccentricity of the ellipse `(x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1` `(a gt b)`, then

A

`a^(2) = b^(2) (1-e^(2))`

B

`b^(2) = a^(2)(1-e^(2))`

C

`a^(2) = b^(2)(e^(2) -1)`

D

`b^(2) = a^(2)(e^(2) -1)`

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE-CONIC SECTIONS-Assignment (SECTION - A)
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  2. If P is a point on the ellipse (X^(2))/(9) + (y^(2))/(4) =1 whose ...

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  6. If the latus rectum of an ellipse with major axis along y-axis and cen...

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  7. The eccentricity of the ellipse x^(2) + 2y^(2) =6 is

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  9. If the latus rectum of an ellipse is equal to half of the minor axis, ...

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  12. A point P is moving in a plane such that the difference of its distan...

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  13. In the given figure, the value of QF(2)-QF(1) is

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  14. The co-ordinates of the vertices of x^(2) - y^(2) = 1 are

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  15. The length of the transverse axis of the hyperbola x^(2) -20y^(2) = 20...

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  16. The length of the latus rectum of 3x^(2) - 2y^(2) =6 is

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  17. The length of the hyperbola of the conjugate axis of 2x^(2) - 3y^(2) =...

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  19. The co-ordinates of the foci of 16y^(2) -x^(2) =16 are

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  20. The equation of the hyperbola with foci (0, pm 5) and vertices (0, pm3...

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