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The eccentricity of the ellipse 4 x^(2...

The eccentricity of the ellipse
`4 x^(2)+9 y^(2)-24 x+36 y+36=0` is

A

` (2)/(3)`

B

`(sqrt(5))/(3)`

C

` (1)/(3)`

D

` (1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The length of the minor axis of 3 x^(2)+4 y^(2)+6 x-8 y-5=0

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  2. The eccentricity of the ellipse 8 x^(2)+6 y^(2)-16 x+12 y-34=0 is

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

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  4. The equations of the directrices of the ellipse 3 x^(2)+4 y^(2)+6 x-8 ...

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  5. Centre of the ellipse 3 x^(2)+4 y^(2)+6 x+16 y-29=0 is at

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  6. (2,4) and (10,10) are the ends of a latus rectum of an ellipse withe=(...

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  7. In an ellipse, minor axis =8 and e=(sqrt(5))/(3). Then the major axis ...

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  8. If the major axis of an ellipse is 3 times its minor axis its ecentric...

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

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  10. If y=m x+c is a tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then b^(2...

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  11. The line 2 x+3 y=12 touches the ellipse 4 x^(2)+9 y^(2)=72 at

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  12. The condition that y=m x+c is a tangent to the ellipse (x^(2))/(a^(2))...

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  13. If (x)/(a)+(y)/(b)=sqrt(2) touches the ellipse (x^(2))/(a^(2))+(y^(2))...

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  14. The number of values of c such that the line y=4 x+c touches the curve...

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  15. The number of real tangents that can be drawn to the ellipse 3 x^(2)+5...

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  16. The equations of the tangents to the ellipse x^(2)+4 y^(2)=25 at the p...

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  17. The equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(...

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  18. The normal to the ellipse x^(2)+4 y^(2)=20 at the point (4,-1) is give...

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  19. If the line y cos alpha=x sin alpha+a cos alpha be a tangtnt to the c...

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  20. The equation of the normal to the ellipse (x^(2))/(10)+(y^(2))/(5)=1 a...

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