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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(2)`

B

`(1)/sqrt(3)`

C

`(2)/(3)`

D

None of these

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The correct Answer is:
A
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MODERN PUBLICATION-ELLIPSE-(LEVEL-II) MCQ
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  2. The eccentricity of an ellipse whose pair of a conjugate diameter are ...

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  3. An ellipse has OB as a semi-minor axis. S(1),S(2) are its foci and the...

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  4. The equation of the auxiliary circle of the ellipse : 9x^(2)+4y^(2)-...

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  5. The equation of the director circle of the ellipse x^(2)+2y^(2)+2x-12y...

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  6. A man running around a race course notes that the sum of the distances...

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

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  8. A tangent at any point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is cut...

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  9. If y=xand2x+3y=0 are equations of a pair of conjugate diameters of an ...

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  10. If chord ofcontact ofthe tangents drawn from the point (alpha,beta)to ...

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  11. If the polar of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is always touching t...

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  12. S1 and S2 are the foci of the elipse x^2/sin^2 alpha+y^2/cos^2 alpha=1...

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  13. Suppose S and S' are foci of the ellipse (x^(2))/(25)+(y^(2))/(16)=1. ...

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

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  15. If tanalphatanbeta=-(a^(2))/(b^(2)), then the chord joining the points...

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  16. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

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  17. if tangents are drawn to the ellipse x^(2)+2y^(2)=2 all points ...

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

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  19. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

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  20. A focus of an ellipse is at the origin. The directrix is the line x =4...

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