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The eccentricity of an ellipse (x^(2))/(...

The eccentricity of an ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` whose latus rectum is half of its minor axis is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  3. The eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose...

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

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

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

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

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

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

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

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

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

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

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

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

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  16. . If P Q andP R are the tangents from P to the ellipse (x^(2))/(2)+y^(...

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  17. If the tangents drawn from a point (1,2 sqrt(3)) to the ellipse (x^(2)...

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  18. Circles are described on the major axis and on the line joining the fo...

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  19. Normal at one end of the latus rectum of the ellipse (x^(2))/(a^(2))+(...

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

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