Home
Class 12
MATHS
If the line joining foci subtends an ang...

If the line joining foci subtends an angle of `90^(@)` at an extremity of minor axis, then the eccentricity e is

A

`(1)/(sqrt(6))`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C|45 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

If the angle between the lines joining the foci of any ellipse to an extremity of the minor axis is 90^0 , find the eccentricity. Also find the equation of the ellipse if the major axis is 2sqrt(2) .

If the angle between the lines joining the foce of any ellipse to an extremity of the minor axis is 90^0 , find the accentricity. Find also the equation of the ellipse if the major axis is 2sqrt(2) .

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

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 =

If latus-rectum is one-third minor axis, then eccentricity of the ellipse is

If the angle between the lines joining the Foci to an extremity of minor axis of an ellipse is " 90^(@). " Its eccentricity is ' e ' then " 8e^(2) " is "]

If the normal at an end of a latus rectaum of an ellipse passes through an extremity of the minor axis then the eccentricity of the ellispe satisfies .

The line joining the foci F and F' of an ellipse subtend a right angle at the positive end B of the minor axis.If e is the eccentricity of the ellipse then the value of 2e^(2)+1 is equal to

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

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. The length of the latus rectum of the ellipse 2x^(2) + 3y^(2) - 4x -...

    Text Solution

    |

  2. The co-ordinates of foci of an ellipse 3x^(2) + 4y^(2) - 4x - 6y -13 =...

    Text Solution

    |

  3. If the line joining foci subtends an angle of 90^(@) at an extremity ...

    Text Solution

    |

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

    Text Solution

    |

  5. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

    Text Solution

    |

  6. The tangent at any point on the ellipse 16x^(2) + 25^(2) = 400 meets ...

    Text Solution

    |

  7. If tangents are drawn to the ellipse 2x^(2) + 3y^(2) =6, then the locu...

    Text Solution

    |

  8. The minimum area of the triangle formed by the tangent to the ellipse ...

    Text Solution

    |

  9. The number of common tangents to the ellipse (x^(2))/(16) + (y^(2))/(9...

    Text Solution

    |

  10. If the focal distance of an end of minor axis of any ellipse, ( whose...

    Text Solution

    |

  11. Number of points on the ellipse (x^(2))/(25) + (y^(2))/(16) =1 from wh...

    Text Solution

    |

  12. Area of the region bounded by the curve {(x,y) : (x^(2))/(a^(2)) + (y^...

    Text Solution

    |

  13. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  14. P is any variable point on the ellipse 4x^(2) + 9y^(2) = 36 and F(1), ...

    Text Solution

    |

  15. The curve described parametrically by x = t^2 + t +1, y = t^2 - t + 1 ...

    Text Solution

    |

  16. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

    Text Solution

    |

  17. AB is double ordinate of the hyperbola x^2/a^2-y^2/b^2=1 such that Del...

    Text Solution

    |

  18. The equation of the hyperbola, whose foci are (6, 4) and (-4, 4) and e...

    Text Solution

    |

  19. The equation of the tangent to the hyperbola 3x^(2) - 4y^(2) = 12, whi...

    Text Solution

    |

  20. The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents an ellipse (b)...

    Text Solution

    |