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Find the eccentricity, the length of la...

Find the eccentricity, the length of latus rectum and the centre of ellipse
`9x^(2) + 16y^(2) - 54 x + 64 y + 1 = 0 `

A

44320

B

`sqrt7/3`

C

`sqrt7/4`

D

`sqrt3/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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PATHFINDER-PARABOLA, ELLIPSE AND HYPERBOLA-QUESTION BANK
  1. The coordinates of the point on the ellipse 9x^(2) + 16y^(2) = 144 ...

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

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  3. Find the eccentricity, the length of latus rectum and the centre of e...

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  4. Find the eccentricity of the ellipse if the length of minor axis ...

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  5. The eccentricity of an ellipse whose distance between the foci is 4 an...

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  6. Taking major and minor axes as x and y - axes respectively , find the ...

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  7. Find the equation of the ellipse whose foci (0,+-4) and the equation o...

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  8. The eccentricity of an ellipse is (2)/(3) focus is S(5,4) and the ma...

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  9. Find the equation to the ausiliary circle of the ellipse 4x^(2) +9...

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  10. The coordinates of the focus of an ellipse are (1,2) and eccentricity...

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  11. Find the length of the latus rectum, eccentricity, coordinates of cent...

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  12. Find the equation of the ellipse whose vertices are (-3,5) and (9,5) a...

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  13. A line segment of length (a+b) units moves on a plane in such a way th...

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  14. Find the eccentricity and equations of the directrices of the ellips...

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  15. If the chord joining the points P(theta)' and 'Q(phi)' of the ellipse ...

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  16. P and Q be the extremities of the two conjugate diameters of the ellip...

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  17. The length of latus rectum of the hyperabola 9y^(2) - 4x^(2) = 36 is -

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  18. If the latus rectum of a hyperbola is equal to half of its transverse ...

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  19. The centre of the hyperbola 9x^2-16y^2-18x+64y-199=0 is

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  20. If foci of the ellipse (x^(2))/(16) + (y^(2))/(b^(2)) = 1 coincide wit...

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