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An ellipse has OB as a semi-minor axis. ...

An ellipse has OB as a semi-minor axis. `S_(1),S_(2)` are its foci and the angle `S_(1)BS_(2)` is a right-angle, then the eccentricity of the ellipse is :

A

` (1)/(sqrt(3))`

B

`(2)/(3)`

C

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

D

` (sqrt(2))/(3)`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  12. Normal at one end of the latus rectum of the ellipse (x^(2))/(a^(2))+(...

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  13. Equation of the ellipse is (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with foci...

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  14. If e(1) is the eccentricity of ellipse(x^(2))/(a^(2))+(y^(2))/(b^(2))=...

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  16. C is the centre of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 and S is on...

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  17. If the eccentricity of the ellipse is (2)/(3), then the ratio of the m...

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  18. The product of the perpendiculars from the foci of the ellipse (x^(2))...

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