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The centre of a ellipse where axes is pa...

The centre of a ellipse where axes is parllel to co-ordinate axes is (2, -1) and the semi axes are `sqrt(3)/(2),1/2` The equation of the ellipse is

A

`12x^(2)+4y^(2)-16y+24x+25=0`

B

`12y^(2)+4x^(2)-16x+24y+25=0`

C

`12y^(2)+4x^(2)-16y+24yx+25=0`

D

`12x^(2)+4y^(2)-16y+24y+25=0`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
  1. Latus Rectum is 4 and e=(1)/sqrt(2) axes are co­ordinate axes, eq. ...

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  2. The equation of the ellipse with its axes as the coordinate axes and ...

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  3. The centre of a ellipse where axes is parllel to co-ordinate axes is (...

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  4. The equation of the ellipse whose vertices are (-4, 1), (6, 1) and one...

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  5. If the equation (x^(2))/(9-k)+(y^(2))/(5-k)=1 represents an ellipse t...

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  6. The centre of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 is

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  7. The foci of the ellipse 36x^(2) + 9y^(2) = 324 are

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  8. The coordinates of the foci of the ellipse 4x^(2) + 9y^(2) = 1 are

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  9. The length of the latusrectum of ((x-3)^(2))/(16)+(y-2)^(2)/(36)=1 is

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  10. The equation of the minor axis of the ellipse (x-1)^(2)/(9)+(y-6)^(2)/...

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  11. The equations of the directrices of the ellipse 9x^(2) + 25y^(2) = 22...

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  12. The vertices of the ellipse 9x^(2) + 25y^(2) - 90x - 150y + 225 = 0 ar...

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  13. The foci of the ellipse 9x^(2)+ 5(y^(2)-10y +25)=45 are

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  14. The equation of the major axis of 25x^(2) + 16y^(2)-100x - 96y - 156 =...

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  15. The equations of the latus recta of the ellipse 9x^(2) + 25y^(2) - 36x...

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  16. The equations of the directrices of 16x^(2) + 25y^(2) - 96x - 100y - 1...

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  17. The asending order of the eccentricities l(1),l(2),l(3) of the conics...

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  18. Let P be a point on an ellipse whose parameter is (pi)/(3) . The sum a...

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  19. Match the eccentricities of the ellipses The correct Matching is

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  20. Assertion (A) : the sum and product of the slopes of the tangents to...

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