Home
Class 11
MATHS
Find the equation of hyperbola : whose a...

Find the equation of hyperbola : whose axes are coordinate axes and the distances of one of its vertices from the foci are 3 and 1

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

Find the equation of the hyperbola, whose axes are axes of coordinates and distances between the foci and directrices are 4sqrt(7) and (16)/(sqrt(7)) respectively.

Find the equation of the hyperbola whose axes are the axes of coordinates and length of conjugate axis is 5 and the distance between the foci is 13.

Find the equation of the hyperbola, whose axes are axes of coordinates and distance between the foci is 10 and length of conjugate axis is 6.

Find the equation of the hyperbola, whose axes are axes of coordinates and eccenticity is 3 and the coordinates of one focus are ((3)/(2),0)

Find the equation of the hyperbola, whose axes are axes of coordinates and lengths of transverse and conjugate axes are 5 and 6 respectively

Find the equation of the hyperbola, whose axes are axes of coordinates and lengths of conjugate axis and latus rectum are 2 (8)/(3) respectively.

Find the equation of the hyperbola, whose axes are axes of coordinates and transverse axis is 2a and the vertex bisects the line segment joining the centre and focus.

Find the equation of the hyperboth whose axes are the axes of coordinates and length of conjugate axis is 5 and the distance between the directrices is (16)/(5) .

Find the equation of the hyperbola, whose axes are axes of coordinates and coordinates of foci are (5,0),(-5,0) and the eccentricity is (5)/(4) .

Find the equation of the hyperboth whose axes are the axes of coordinates and vertices are ( pm 4,0) and foci are ( pm 6,0).

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Two straingt lines pass through the fixed points (pma,0) and have slop...

    Text Solution

    |

  2. Find the lengths of the transverse and the conjugate axis, eccentricit...

    Text Solution

    |

  3. Find the equation of hyperbola : whose axes are coordinate axes and th...

    Text Solution

    |

  4. Find the equation of hyperbola if centre is (1, 0), one focus is (6, 0...

    Text Solution

    |

  5. Let E1a n dE2, respectively, be two ellipses (x^2)/(a^2)+y^2=1,a n dx^...

    Text Solution

    |

  6. Find the equation of hyperbola : Whose center is (3, 2), one focus is ...

    Text Solution

    |

  7. Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is...

    Text Solution

    |

  8. An ellipse and a hyperbola have their principal axes along the coordin...

    Text Solution

    |

  9. If hyperbola (x^(2))/(b^(2))-(y^(2))/(a^(2))=1 passes through the foci...

    Text Solution

    |

  10. If the tangent drawn at point (t^2,2t) on the parabola y^2=4x is the s...

    Text Solution

    |

  11. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

    Text Solution

    |

  12. Find the coordinates of the foci, the eccentricity, the latus rectum, ...

    Text Solution

    |

  13. If the latus rectum of a hyperbola forms an equilateral triangle with ...

    Text Solution

    |

  14. If the rectum subtends a right angle at the centre of the hyperbola (x...

    Text Solution

    |

  15. If PQ is a double ordinate of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

    Text Solution

    |

  16. Find the equation of the hyperbola given by equations x=(e^t+e^(-t))/2...

    Text Solution

    |

  17. A ray emerging from the point (5, 0) is incident on the hyperbola 9x^2...

    Text Solution

    |

  18. Normal is drawn at one of the extremities of the latus rectum of the h...

    Text Solution

    |

  19. An ellipse and a hyperbola are confocal (have the same focus) and the ...

    Text Solution

    |

  20. The point of intersection of the tangents at the point P on the ellips...

    Text Solution

    |