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The eccentricity of an ellipse whose pai...

The eccentricity of an ellipse whose pair of a conjugate diameter are `y=x` and `3y =-2x` is (A) `2/3` (B) `1/3` (C) `1/sqrt3` (D) none

A

`2//3`

B

`1//3`

C

`1//sqrt(3)`

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-ELLIPSE-Exercise
  1. the equation of a diameter conjugate to a diameter y=(b)/(a)x of ...

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  2. If A,A' are the vertices S,S' are the foci and Z,Z' are the fe...

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  3. The eccentricity of an ellipse whose pair of a conjugate diameter are ...

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  4. The locus of the point of intersection of tangents to the ellipse...

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  5. The number of maximum normals that can be drawn from any point to an e...

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  6. The sum of the squares of the perpendiculars on any tangent to the ell...

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  7. If the polar with respect to y^2 = 4ax touches the ellipse x^2/alpha^2...

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  8. If p and q are the segments of a focal chord of an ellipse b^2x^2+a^2y...

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  9. If x/a+y/b=sqrt(2) touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , the...

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  10. Let P be a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 of ecc...

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  11. if P(theta) and Q(pi/2 +theta) are two points on the ellipse x^2/a^2+...

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  12. The equation of the circle passing through the foci of the ellipse x^(...

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  13. The center of the ellipse (x+y-2)^(2)/9+(x-y)^(2)/16=1is

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  14. In an ellipse, the distance between its foci is 6 and minor axis is 8....

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  15. S and T are foci of an ellipse and B is an end of the minor a...

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  16. the length of the latusrectum of an ellipse is one thrid of its...

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  17. If the length of the major axis of an ellipse in 3 times the length ...

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  18. The distance between the foci of the ellipse 5x^(2)+9y^(2)=45 is

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  19. the length of the latusrectum of the ellipse (x^(2))/(36)+(y^(2))/...

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  20. The co-ordinates of a focus of an ellipse is (4,0) and its eccentricit...

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