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The sum of the focal distances of any ...

The sum of the focal distances of any point on the ellipse `4x^(2) + 25y = 100 ` is_

A

4

B

5

C

10

D

none of these

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The correct Answer is:
C
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Find the sum of the focal distance of any point on the ellipse 9x^(2) +25y^(2) = 225 .

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Find the eccentricity and equations of the directrices of the ellipse (x^(2))/(100) + (y^(2))/ (36) = 1 . Show that the sum of the focal distances of any point on this ellipse is constant .

Find the eccentricity and the equation of directix of the ellipse x^2/100+y^2/36=1 Show that the sum of the focal distances at any point on the ellipse x^2/100+y^2/36=1 is constant.

Show that the difference of the focal distances of any point on the hyperbola 9x^(2) - 16y^(2) = 144 is equal to its transverse axis.

The eccentricity of the ellipse 4x^(2) + 25y^(2) = 100 is _

Show that the difference of the focal distances of any point on the hyperbola 9x^2-4y^2 = 36 is equal to its transverse axis.

Show that the difference of focal distances of any point of the hyperbola 3x^(2) - 4y^(2) = 48 is constant.

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CHHAYA PUBLICATION-ELLIPSE-M . C . Q
  1. If e be the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  2. If the length of the minor axis of an ellipse is equal to the distan...

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  3. The parametric equations of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^...

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  4. The eqation of auxiliary circle of the ellipse (x^(2))/(a^(2))+(y^(2...

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  5. If a point moves on a plane is such a way that the sum of its dista...

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  6. The length of latus rectum of the ellipse 9x^(2) + 25y^(2) = 225 is

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  7. The coordinates of the vertices of the ellipse 4x^(2) + y^(2) = 16 ...

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  8. The eccentricity of the ellipse 4x^(2) + 25y^(2) = 100 is

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  9. The length of latus rectum of the ellipse 25x^(2) + 9y ^(2) = 225 is

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  10. The coordinates of the vertices of the ellipse x^(2) + 4y^(2) = 16 ...

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  11. The length of major axis of the ellipse 4x^(2) + 9y^(2) = 36 is

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  12. The eccentricity of the ellipse 25 x^(2) + 4y^(2) = 100 is

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  13. The length of minor axis of the ellipse 9x^(2) + 4y ^(2) = 36 is

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  14. The coordinates of the point on the ellipse 9x^(2) + 16y^(2) = 144 ...

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  15. If the equation (x^(2))/(4-m)+(y^(2))/(m-7)+ 1 = 0 represents an e...

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  16. The sum of the focal distances of any point on the ellipse 4x^(2) +...

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  17. If the distance between the foci of an ellipse is equal to the length ...

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  18. The eccentricity of the ellipse 5x^(2) + 9y^(2) = 1 is

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  19. If e and a be the eccentricity and length of semi - major axis of an e...

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  20. The coordinates of the centre of the ellipse 4x^(2) + 9y^(2) - 16 x +...

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