Home
Class 11
MATHS
An ellipse has O B as the semi-minor a...

An ellipse has `O B` as the semi-minor axis, `F and F '` as its foci, and `/_F B F '` a right angle. Then, find the eccentricity of the ellipse.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

An ellipse has OB as a semi-minor axis, F and F' are its two foci and the angle FBF' is a right angle. Find the eccentricity of the ellipse.

If (5, 12) and (24, 7) are the foci of an ellipse passing through the origin, then find the eccentricity of the ellipse.

If the length of the minor axis of an ellipse is equal to the distance between their foci, then eccntricity 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

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

If the angle between the lines joining the end points of minor axis of an elipes with its one focus is pi/2, then the eccentricity of the ellipse is-

An ellipse has the points (1, -1) and (2,-1) as its foci and x + y = 5 as one of its tangent then the value of a^2+b^2 where a,b are the lenghta of semi major and minor axes of ellipse respectively is :

The latus rectum of an ellipse is equal to one-half of its minor axis. The eccentricity of the ellipse is

S , T are two foci of an ellipse and B is a one end point of minor axis . If STB be a equilateral triangle and eccentricity of the ellipse be (1)/(lambda) , then the value of lambda is _

S_1, S_2 , are foci of an ellipse of major axis of length 10 units and P is any point on the ellipse such that perimeter of triangle PS_1 S_2 , is 15 . Then eccentricity of the ellipse is:

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If P(alpha,beta) is a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1...

    Text Solution

    |

  2. An arc of a bridge is semi-elliptical with the major axis horizonta...

    Text Solution

    |

  3. An ellipse has O B as the semi-minor axis, F and F ' as its foci, ...

    Text Solution

    |

  4. P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with A A ' ...

    Text Solution

    |

  5. Prove that the curve represented by x=3(cost+sint),y=4(cost-sint),t in...

    Text Solution

    |

  6. Find the center, foci, the length of the axes, and the eccentricity...

    Text Solution

    |

  7. If C is the center and A ,B are two points on the conic 4x^2+9y^...

    Text Solution

    |

  8. Find the equation of a chord of the ellipse (x^2)/(25)+(y^2)/(16)=1 jo...

    Text Solution

    |

  9. Prove that the chords of contact of pairs of perpendicular tangents to...

    Text Solution

    |

  10. Tangent are drawn from the point (3, 2) to the ellipse x^2+4y^2=9 ....

    Text Solution

    |

  11. Find the locus of the point of intersection of tangents to the elli...

    Text Solution

    |

  12. Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4, ...

    Text Solution

    |

  13. If from a point P , tangents PQ and PR are drawn to the ellipse (x^2...

    Text Solution

    |

  14. Prove that the chord of contact of the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  15. Find the locus of a point P(alpha, beta) moving under the condition th...

    Text Solution

    |

  16. The locus of the point which is such that the chord of contact of ta...

    Text Solution

    |

  17. A point P moves such that the chord of contact of the pair of tangents...

    Text Solution

    |

  18. Find the length of the chord of the ellipse x^2/25+y^2/16=1, whose mid...

    Text Solution

    |

  19. Find the equation of the chord of the hyperbola 25x^(2)-16y^(2)=400 wh...

    Text Solution

    |

  20. The locus of the point which divides the double ordinates of the ell...

    Text Solution

    |