Home
Class 11
MATHS
The equation of one directrix of a hyper...

The equation of one directrix of a hyperbola is `2x+y=1,` the corresponding focus is (1, 2) and eccentricity is `sqrt3`. Find the equation of hyperbola and coordinates of the centre and second focus.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The equation of one of the directrices of a hyperboda is 2x+y=1, the corresponding focus is (1, 2) and e=sqrt(3) . Find the equation of the hyperbola and the coordinates of the center and the second focus.

Find the equation of the hyperbola whose one directrix is 2x+y=1 , the corresponding focus is (1, 2) and eccentricity is sqrt(3)

The equation of the directrix of a hyperbola is x-y+3=0. Its focus is (-1,1) and eccentricity 3. Find the equation of the hyperbola.

The focus and the correspondin directrix of a hyperbola are (1-3) and y=2 and eccentricity is 3/2. Find the equation of the hyperbola.

Find the equation of hyperbola whose equation of directrix is x+2y=1, focus is (-1,-1) and eccentricity is sqrt(2) .

if 5x+9=0 is the directrix of the hyperbola 16x^(2)-9y^(2)=144 , then its corresponding focus is

The equation of the hyperbola whose directrix x+2y=1 , focus (2,1) and eccentricity 2 , is

Find the equation of the ellipse whose focus is (1,-2) , the corresponding directrix x-y+1=0 and eccentricity (2)/(3) .

The directrix of a conic section is the line 3x+4y=1 and the focus S is (-2, 3). If the eccentricity e is 1/sqrt(2) , find the equation to the conic section.

Find the equation of the hyperbola whose focus is (1,2), directrix 2x +y = 1 and eccentricity sqrt3.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the equation of tangent to the conic x^2-y^2-8x+2y+11=0 at (2,1)

    Text Solution

    |

  2. Statement 1 : A bullet is fired and it hits a target. An observer i...

    Text Solution

    |

  3. The equation of one directrix of a hyperbola is 2x+y=1, the correspond...

    Text Solution

    |

  4. The distance of a point on the ellipse (x^2)/6+(y^2)/2=1 from the cent...

    Text Solution

    |

  5. A hyperbola having the transverse axis of length 2sintheta is confocal...

    Text Solution

    |

  6. If it is posssible to draw the tangent to the hyperbola (x^(2))/(a^(2)...

    Text Solution

    |

  7. The set of values of m for which it is possible to draw the chord y=sq...

    Text Solution

    |

  8. Consider a branch of the hypebola x^2-2y^2-2sqrt2x-4sqrt2y-6=0 with ve...

    Text Solution

    |

  9. Find the equations of the tangents to the hyperbola x^2-9y^2=9 that ar...

    Text Solution

    |

  10. Let aa n db be nonzero real numbers. Then the equation (a x^2+b y^2+c)...

    Text Solution

    |

  11. x^2/(r^2-r-6)+y^2/(r^2-6r+5)=1 will represent ellipse if r lies in the...

    Text Solution

    |

  12. Find the equations to the common tangents to the two hyperbolas (x^2)/...

    Text Solution

    |

  13. A parabola is drawn with focus at one of the foci of the ellipse (x^2)...

    Text Solution

    |

  14. Let P(6,3) be a point on the hyperbola x^2/a^2-y^2/b^2=1If the normal ...

    Text Solution

    |

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

    Text Solution

    |

  16. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 f...

    Text Solution

    |

  17. If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2...

    Text Solution

    |

  18. Let Pi and Pi ' be the feet of the perpendiculars drawn from the foci ...

    Text Solution

    |

  19. An ellipse intersects the hyperbola 2x^2-2y^2 =1 orthogonally. The ecc...

    Text Solution

    |

  20. The number of points on the ellipse (x^2)/(50)+(y^2)/(20)=1 from which...

    Text Solution

    |