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If the minor axis of an ellipse subtends...

If the minor axis of an ellipse subtends an angle`60^(circ)` at each focus then the eccentricity of the ellipse is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  2. The tangent making an angle 60^(circ) with the major axis and touching...

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  3. If the minor axis of an ellipse subtends an angle60^(circ) at each foc...

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  4. The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is

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  5. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

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  6. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  7. Eccentric angle of a point on the ellipse x^(2)+3 y^(2)=6 at a distanc...

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  8. The eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose...

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  9. The distance of the point theta^(prime) on the ellipse (x^(2))/(a^(2)...

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  10. The number of real tangents that can be drawn to the ellipse 3 x^(2)+5...

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  11. The number of tangents from (4,7) to the ellipse (x^(2))/(16)+(y^(2))/...

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  12. S(1) and S(2) are the foci of an ellipse and B is the end of the minor...

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  13. The length of the latus - rectum of the ellipse (x^(2))/(25) + (y^(2))...

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  14. The length of the major axis is three times the length of minor axis, ...

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

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  16. The equation of the locus of the middle point of the portion of the ta...

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  17. If sqrt(3) b x+a y=2 a b is a tangent to the ellipse (x^(2))/(a^(2))+(...

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  18. If a normal at any point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)...

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  19. Locus of the point of intersection of the tangent at the ends of focal...

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  20. The equation of a common tangent to the circle x^(2)+y^(2)=16 and the ...

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