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S and T are foci of an ellipse and B...

S and T are foci of an ellipse and B is an end of the minor axis , if STB is an equilateral triangle , the eccentricity of the ellipse , is

A

`1//4`

B

`1//3`

C

`1//2`

D

`2//3`

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-ELLIPSE-Exercise
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  2. In an ellipse, the distances between its foci is 6 and minor axis is 8...

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  3. S and T are foci of an ellipse and B is an end of the minor a...

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  4. the length of the latusrectum of an ellipse is one thrid of its...

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  5. if the major axis of an ellipse is three times the length ...

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  6. the distance between the foci of the ellipse 5x^(2)+9y^(2)=45, is

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  7. the length of the latusrectum of the ellipse (x^(2))/(36)+(y^(2))/...

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  8. The co-ordinates of a focus of an ellipse is (4,0) and its eccentricit...

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  9. the equation of the ellipse passing through (2,1) having e=1/2...

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  10. If C is the centre of the ellipse 9x^(2) + 16y^(2) = 144 and S is one ...

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  11. In an ellipse the distance between the foci is 8 and the distance betw...

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  12. The centre of the ellipse 4x^(2) + 9y^(2) + 16x - 18y - 11 = 0 is

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

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  14. An ellipse is described by using an endless string which is passed ove...

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  15. Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=...

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  16. The distance of the point 'theta' on the ellipse x^(2)/a^(2) + y^(2)/b...

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  17. If y = mx + c is a tangent to the ellipse x^(2) + 2y^(2) = 6, them c^(...

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  18. Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with ...

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  19. The ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and the straight line y=mx+c int...

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  20. Let E be the ellipse x^(2)/9 + y^(2)/4 = 1 and C be the circle x^(2) +...

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