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If the latus rectum of an ellipse with m...

If the latus rectum of an ellipse with major axis along y-axis and centre at origin is `(1)/(5)`, distance between foci = length of minor axis, then the equation of the ellipse is

A

`50y^(2) + 25x^(2) =1`

B

`(x^(2))/(50) + (y^(2))/(25) =1`

C

`(x^(2))/(25) + (y^(2))/(50) =1`

D

`50x^(2) + 25y^(2) =1`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH INSTITUTE-CONIC SECTIONS-Assignment (SECTION - A)
  1. The equation of the ellipse whose length of the major axis is 10 units...

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  2. If the major axis of an ellipse is alongthe y-axis and it passes throu...

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

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

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  5. If the length of the eccentricity of an ellipse is (3)/(8) and the d...

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

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  7. The equation of the set of all point the sum of whose distances from t...

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  8. The equation of the ellipse, the co-ordinates of whose foci a re (pmsq...

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

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

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

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

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

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

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  15. The eccentricity of the hyperbola y^(2) - 25x^(2) = 25 is

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

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

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  18. The equation of the hyperbola whose foci are (pm5,0) and length of th...

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  19. The equation of the hyperbola with verticles (0, pm7) and eccentricity...

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  20. The length of the transverse axis and the conjugate axis of a hyperbo...

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