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The angle between the lines joining the ...

The angle between the lines joining the foci of an ellipse to an extremity of the minor axis is `90^(circ)`, then the eccentricity of the ellipse is

A

` (1)/(2)`

B

`(1)/(sqrt(2))`

C

`(3)/(4)`

D

`(2)/(sqrt(5))`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. An ellipse has a minor axis of Iength 6 and the distance between its f...

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  2. In an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 if the distance betwee...

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  3. The angle between the lines joining the foci of an ellipse to an extre...

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  4. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cuts the x -axis at A an...

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  5. The locus of the point of intersection of two perpendicular tangents t...

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  6. An ellipse has its centre (1,-1) and semi major axis is 8, which passe...

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  7. The distance between the foci is 6, e=(1)/(2), the length of the major...

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  8. Equation of the tangent and the normal drawn at the point (6,0) on the...

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  9. The locus of the point of intersection of the perpendicular tangents t...

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

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  11. The equation to the ellipse whose foci are (pm2,0) and eccentricity (1...

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  12. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

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  13. The eccentricity of an ellipse, with its centre at origin is (1)/(2) t...

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  14. Area of the greatest rectangle that can be inscribed in the ellipse (x...

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  15. An ellipse has O B as semi minor axis, F and F^(prime) its foci and th...

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  16. A circle touches the x - axis and also touches the circle with centre ...

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  17. A circle touches the x - axis and also touches the circle with centre ...

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  18. In an ellipse the distance between the foci is 6 and minor axis is 8 ....

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  19. If P=(x, y), F(1)=(3,0), F(2)=(-3,0) and 16 x^(2)+25 y^(2)=400 then P ...

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  20. If tangents are drawn to the ellipse x^(2)+2 y^(2)=2 then the locus of...

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