Home
Class 11
MATHS
Let S and s' be the foci of an ellipse a...

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

A

`(1)/(sqrt2)`

B

`1/2`

C

`(sqrt3)/(2)`

D

`1/3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|75 Videos

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

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

Pa n dQ are the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and B is an end of the minor axis. If P B Q is an equilateral triangle, then the eccentricity of the ellipse is 1/(sqrt(2)) (b) 1/3 (d) 1/2 (d) (sqrt(3))/2

If the lines joining the foci of an ellipse to an end of its minor axis are at right angles , then the eccentricity of the ellipse is e =

S and T are the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and B is an end of the minor axis.If STB is an equilateral triangle,the eccentricity of the ellipse is e then find value of 4e

TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
  1. If the angle betweent he lines joining the end points of minor axis of...

    Text Solution

    |

  2. B is extermity of the minor axis of an elipse whose foci are S and S'....

    Text Solution

    |

  3. Let S and s' be the foci of an ellipse and B be one end of its minor a...

    Text Solution

    |

  4. The distanve between the foci of an ellipse is 16 and eccentricity is ...

    Text Solution

    |

  5. If the eccentricities of the two ellipse (x^(2))/(169)+(y^(2))/(25)=...

    Text Solution

    |

  6. The length of the latus rectum of the ellipse 5x ^(2) + 9y^(2) =45 is

    Text Solution

    |

  7. The length of the latus rectum of the ellipse 9x ^(2) + 4y ^(2) =1, is

    Text Solution

    |

  8. The length of the latus rectum of an ellipse is 1/3 of the major axis....

    Text Solution

    |

  9. If the latusrectum of an ellipse is equal to one half of its m...

    Text Solution

    |

  10. The distance between the focii of the ellipse x =3 cos theta , y =4 si...

    Text Solution

    |

  11. The equation of an ellipse whose focus is (-1,1), directrix is x -y + ...

    Text Solution

    |

  12. The centre of the ellipse ((x+y-3)^(2))/(9) + ((x -y +1)^(2))/(16) =...

    Text Solution

    |

  13. Thet eccentricity of the ellipse ((x-1)^(2))/(9)+ ((y+1)^(2))/(25) =...

    Text Solution

    |

  14. The ecfentricity of the ellipse ((x-1)^(2))/(2) + (y + (3)/(4)) ^(2)...

    Text Solution

    |

  15. The centre of ellipse 4x ^(2) + y^(2) -8x + 4y-8=0 is

    Text Solution

    |

  16. For the ellipse 25 x ^(2) + 9y ^(2) -150x-90y + 225 =0, the eccentrici...

    Text Solution

    |

  17. The eccentricity of the curve represented by the equation x ^(2) + 2y ...

    Text Solution

    |

  18. The foci of the ellipse 25 x ^(2) + 4y ^(2) + 100x -4y + 100 =0 are

    Text Solution

    |

  19. The equation 5x ^(2) + y^(2) + y=8 represents

    Text Solution

    |

  20. A man running around a race course notes that the sum of the distances...

    Text Solution

    |