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In an ellipse, if the lines joining focu...

In an ellipse, if the lines joining focus to the extremities of the minor axis form an equilateral triangle with the minor axis, then the eccentricity of the ellipse is

A

`3//4`

B

`sqrt3//2`

C

`1//2`

D

`2//3`

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-ELLIPSE-Exercise (Level 1 Single Correct)
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  2. The circle x^2+y^2=c^2 contains the ellipse x^2/a^2+y^2/b^2=1 if

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  3. In an ellipse, if the lines joining focus to the extremities of the mi...

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  4. An equilateral triangle is inscribed in the ellipse x^2+3y^2=3 such t...

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  5. If the equation x^2/(10-2a)+y^2/(4-2a)=1 represents an ellipse , then ...

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  6. The curve represented by x = 3 (cos t + sin t), y = 4 (cos t- sin t) i...

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  7. The eccentricity of an ellipse, with centre at the origin is 2/3. If o...

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  8. The locus of the foot of the perpendicular from the foci an any tangen...

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  9. If the ellipse x^2/a^2+y^2/b^2=1 and the circle x^2+y^2=r^2 where bltr...

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  10. The product of the perpendiculars from the foci of the ellipse x^2/14...

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  11. The locus of the foot of the perpendicular drawn from the centre on an...

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  12. If the normal at P(2(3sqrt(3))/2) meets the major axis of ellipse (...

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  13. Chord of the ellipse x^2/25+y^2/16=1 whose middle point is (1/2, 2/5) ...

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  14. If one extremity of the minor axis of the ellipse x^2/a^2+y^2/b^2=1 a...

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  15. The length of the major axis of the ellipse (5x-10)^2 +(5y+13)^2 = (3x...

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  16. A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x...

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  17. Let P be any point on a directrix of an ellipse of eccentricity e, S b...

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  18. If a tangent of slope 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is no...

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  19. If a line 3 px + 2ysqrt(1-p^2) =1 touches a fixed ellipse E for all p ...

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  20. If a and b are the natural numbers such that a + b = ab, then equation...

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