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If the focal distance of an end of the m...

If the focal distance of an end of the minor axis of an ellipse (referred to its axes as the axes of `x and y` , respectively) is `k` and the distance between its foci is `2h ,` them find its equation.

A

`(x^(2))/(k^(2))+(y^(2))/(h^(2))=1`

B

`(x^(2))/(k^(2))+(y^(2))/(k^(2)-h^(2))=1`

C

`(x^(2))/(k^(2))+(y^(2))/(h^(2)-k^(2))=1`

D

`(x^(2))/(k^(2))+(y^(2))/(k^(2)+h^(2))=1`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-ELLIPSE-Exercise
  1. Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...

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

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  3. If the focal distance of an end of the minor axis of an ellipse (ref...

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

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

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  6. The distance from the foci of P (x(1), y(1)) on the ellipse x^2/9+y^2/...

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

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

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

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

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

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

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  13. The equation of the passing through the of the ellipse (x^(2))/(16)+(y...

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

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

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

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

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

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  19. the equation of the axes of the ellispe 3x^(2)+4y^(2)+6x-8y-5=0 ...

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  20. the equations to the directrices of the ellipse 4(x-3)^(2)+9(y+2)...

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