Home
Class 11
MATHS
If the latus rectum through one focus su...

If the latus rectum through one focus subtends a right angle at the farther vertex of the hyperbola then its eccentricity is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|22 Videos
  • INTRODUCTIONS TO 3-D COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|113 Videos

Similar Questions

Explore conceptually related problems

If the latusrectum subtends a right angle at the centre of the hyperbola then its eccentricity

If the latus rectum of a hyperola forms an equilateral triangle with the centre of the hyperbola, then its eccentricity is

If the latursrectum of a hyperbola through one foucs subtends 60^(@) angle at the other focus, then its eccentricity e , is

If a latus rectum of an ellipse subtends a right angle at the centre of the ellipse, then write the eccentricity of the ellipse.

If a normal subtends a right angle at the vertex of a parabola y^(2)=4ax then its length is

If the latus rectum subtends a right angle at the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , then find its eccentricity.

If the latus rectum of a hyperbola forms an equilateral triangle with the vertex at the center of the hyperbola ,then find the eccentricity of the hyperbola.

If the latus rectum of a hyperbola forms an equilateral triangle with the vertex at the center of the hyperbola ,then find the eccentricity of the hyperbola.

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

If a chord which is normal to the parabola at one end subtend a right angle at the vertex, then angle to the axis is

RD SHARMA ENGLISH-HYPERBOLA-All Questions
  1. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

    Text Solution

    |

  2. Write the length of the latus rectum of the hyperbola 16 x^2-9y^2=144.

    Text Solution

    |

  3. If the latus rectum through one focus subtends a right angle at the fa...

    Text Solution

    |

  4. Write the distance between the directrices of the hyperbola x=8s e cth...

    Text Solution

    |

  5. Write the equation of the hyperbola whose vertices are (+-3,0) and foc...

    Text Solution

    |

  6. If e1a n d\ e2 are respectively the eccentricities of the ellipse (x^...

    Text Solution

    |

  7. Equation of the hyperbola whose vertices are (+-3,0) and foci at (+-5,...

    Text Solution

    |

  8. If e1a n d\ e2 are respectively the eccentricities of the ellipse (x^2...

    Text Solution

    |

  9. The distance between the directrices of the hyperbola x=8s e ctheta,\ ...

    Text Solution

    |

  10. The equation of the conic with focus at (1,-1) directrix along x-y+1=0...

    Text Solution

    |

  11. The eccentricity of the conic 9x^2-16 y^2=144 is a.5/4 b. 4/3 c. 4/5 d...

    Text Solution

    |

  12. A point moves in a plane so that its distance PA and PB from who fixed...

    Text Solution

    |

  13. The eccentricity of the hyperbola whose latus rectum is half of its ...

    Text Solution

    |

  14. The eccentricity of the hyperbola x^2-4y^2=1 is a.(sqrt(3))/2 b. (s...

    Text Solution

    |

  15. The difference of the focal distances of anypoint on the hyperbola is ...

    Text Solution

    |

  16. The foci of the hyperbola 9x^2-16 y^2=144 are a.(+-4,0) b. (0,+-4) c. ...

    Text Solution

    |

  17. The distance between the foci of a hyperbola is 16 and its eccentricit...

    Text Solution

    |

  18. If e1 is the eccentricity of the conic 9x^2+4y^2=36\ a n d\ e2 is the ...

    Text Solution

    |

  19. If the eccentricity of the hyperbola x^2-y^2sec^2alpha=5\ i s\ sqrt(3)...

    Text Solution

    |

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

    Text Solution

    |