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Find the eccentricity of an ellipse (x^2...

Find the eccentricity of an ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` whose latus rectum is half of its major axis.

A

`1sqrt(2)`

B

`sqrt(2//3)`

C

`sqrt(3)//2`

D

none of these

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A
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OBJECTIVE RD SHARMA-ELLIPSE-Exercise
  1. If A and B are two fixed points and P is a variable point such that P...

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  2. the length of the latusrectum of the ellipse 3x^(2) + y^(2) = 12 ....

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  3. Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose la...

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  4. the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))=1 whose l...

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  5. If the focal distance of an end of the minor axis of an ellipse (re...

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  6. if 2y = x and 3y + 4x=0 are the equations of a pair of conjuga...

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  7. if theta is a parameter then x=a ( sin theta + cos theta), y...

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  8. The distance from the foci of P (a, b) on the ellipse x^2/9+y^2/25=1 a...

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  9. Find the equation for the ellipse that satisfies the given conditions...

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  10. The eccentricity of the curve x^(2)-4x+4y^(2)=12 is

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  11. The parametric representation of a point on the ellipse whose foci are...

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  12. if S and S are two foci of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^...

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  13. The eccentricity of the ellipse represented by 25 x^2+16 y^2-150 x-175...

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  14. the length of the latusrectum of the ellipse 5x^(2) + 9x^(2)=45...

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  15. The radius of the circle passing through the foci of the ellipse (x^2)...

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  16. the eccentricity to the conic 4x^(2) +16y^(2)-24x-32y=1 is

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  17. A set of points is such that each point is three times as far away fro...

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  18. the foci of an ellipse are (0+-6) and the equation of the direc...

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  19. An ellipse has its centre at (1,-1) and semi major axis =8 and it pass...

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  20. Let L L ' be the latusrectum and S be a focus of the ellipse (x^...

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