Home
Class 12
MATHS
S and T are the foci of an ellipse and B...

S and T are the foci of an ellipse and B is one end of the minor axis. IF STB is an equilateral traingle , then find the eccentricity of the ellipse.

A

`1//4`

B

`1//3`

C

`1//2`

D

`2//3`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|24 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|2 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|1 Videos

  • EAMCET - 2016 TS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Questions|80 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

Similar Questions

Explore conceptually related problems

Let S and s' be the foci of an ellipse and B be one end of its minor axis . If SBS' is a isosceles right angled triangle then the eccentricity of the ellipse is

S and S^(1) foci of an ellipse. B is one end of the minor axis. If I. SBS^(1) is a right angled isoscles triangle, then e =

If the m inor axis of an ellipse form s an equilateral triangle with one vertex of the ellipse then e =

If the minor axis of an ellipse subtends an angle 90^(@) at each focus then the eccentricity of the ellipse is

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

S (3, 4) and S^(') (9, 12) are the focii of an ellipse and the foot of the perpendicular from S to a tangent to the ellipse is (1, -4). Then the eccentricity of the ellipse is

DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. The major axis of an ellipse is three times the minor axis, then the e...

    Text Solution

    |

  2. In an ellipse the distance between the foci is 6 and it's minor axis i...

    Text Solution

    |

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

    Text Solution

    |

  4. An ellipse has OB as semiminor axis, F and F^' its focii and the angle...

    Text Solution

    |

  5. The minor axis forms an equialteral triangle with vertex at the end of...

    Text Solution

    |

  6. A circle is described with minor axis of an ellipse as a diameter. If ...

    Text Solution

    |

  7. The circle on SS^' as diameter intersects the ellipse in real points t...

    Text Solution

    |

  8. If the minor axis of an ellipse subtends an angle 60^(@) at each focus...

    Text Solution

    |

  9. The distance between the focii is equal to the minor axis of an ellips...

    Text Solution

    |

  10. The circle on SS^' as diameter intersects the ellipse in real points t...

    Text Solution

    |

  11. Let S, S^(') are the focii and BB^(') be the minor axis of an ellipse....

    Text Solution

    |

  12. LL^(') is the latusrectum of an ellipse and DeltaSLL^(') is an equilat...

    Text Solution

    |

  13. The latus rectum LL^(') subtends a right angle at the centre of the el...

    Text Solution

    |

  14. If (5, 12) and (24, 7) are the focii of conic passing through (0, 0), ...

    Text Solution

    |

  15. An ellipse passing through (4sqrt(2), 2sqrt(6)) has foci at (-4, 0) a...

    Text Solution

    |

  16. The eccentricity of the ellipse which meets the straight line x//7+y//...

    Text Solution

    |

  17. The equations of the directrices of the ellipse 25x^(2)+9y^(2)-150x-90...

    Text Solution

    |

  18. The equations of the latus recta of the ellipse 9x^(2) + 25y^(2) - 36x...

    Text Solution

    |

  19. Equations of the latus recta of the ellipse 9x^(2)+4y^(2)-18x-8y-23=0 ...

    Text Solution

    |

  20. The equation of the axes of the ellipse 25x^(2)+9y^(2)-150x-90y+225=0 ...

    Text Solution

    |