Home
Class 11
MATHS
For hyperbola whose center is at (1, 2) ...

For hyperbola whose center is at (1, 2) and the asymptotes are parallel to lines `2x+3y=0` and `x+2y=1` , the equation of the hyperbola passing through (2, 4) is `(2x+3y-5)(x+2y-8)=40` `(2x+3y-8)(x+2y-8)=40` `(2x+3y-8)(x+2y-5)=30` none of these

Text Solution

AI Generated Solution

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

For hyperbola whose center is at (1, 2) and the asymptotes are parallel to lines 2x+3y=0 and x+2y=1 , the equation of the hyperbola passing through (2, 4) is (a) (2x+3y-5)(x+2y-8)=40 (b) (2x+3y-8)(x+2y-8)=40 (c) (2x+3y-8)(x+2y-5)=30 (d) none of these

If the foci of a hyperbola lie on y=x and one of the asymptotes is y=2x , then the equation of the hyperbola, given that it passes through (3, 4), is (a) x^2-y^2-5/2x y+5=0 (b) 2x^2-2y^2+5x y+5=0 (c) 2x^2+2y^2-5x y+10=0 (d) none of these

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

The equation of a hyperbola conjugate to the hyperbola x^(2)+3xy+2y^(2)+2x+3y=0 is

The asymptotes of a hyperbola are parallel to lines 2x+3y=0 and 3x+2y=0 . The hyperbola has its centre at (1, 2) and it passes through (5, 3). Find its equation.

The equation of directrices of the hyperbola 5x^(2) -4y^(2) -30x -8y -39 =0 are

If 2x+3y=8 and x y=2 , find the value of 4x^2+9y^2

The equation of the asymptotes of a hyperbola are 4x - 3y + 8 = 0 and 3x + 4y - 7 = 0 , then

Find the equation of a hyperbola whose asymptotes are 2x - y- 3 = 0 and 3x + y - 7 = 0 and which pass through (1, 1).

Find the eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=2.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Let any double ordinate P N P ' of the hyperbola (x^2)/(25)-(y^2)/(16)...

    Text Solution

    |

  2. Tangents drawn from the point P(2,3) to the circle x^2 + y^2-8x + 6y...

    Text Solution

    |

  3. For hyperbola whose center is at (1, 2) and the asymptotes are paralle...

    Text Solution

    |

  4. If from a point P(0,alpha) , two normals other than the axes are drawn...

    Text Solution

    |

  5. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

    Text Solution

    |

  6. If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0,...

    Text Solution

    |

  7. If the intercepts made by tangent, normal to a rectangular hyperbola x...

    Text Solution

    |

  8. Let the distance between a focus and the corresponding directrix of an...

    Text Solution

    |

  9. If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...

    Text Solution

    |

  10. Consider an ellipse E ,(x^2)/(a^2)+(y^2)/(b^2)=1 , centered at point O...

    Text Solution

    |

  11. If two distinct tangents can be drawn from the Point (alpha,2) on diff...

    Text Solution

    |

  12. Suppose xa n dy are real numbers and that x^2+9y^2-4x+6y+4=0 . Then th...

    Text Solution

    |

  13. A hyperbola passes through (2,3) and has asymptotes 3x-4y+5=0 and 12 x...

    Text Solution

    |

  14. Rectangle ABCD has area 200.An ellipse with area 200pi passes through ...

    Text Solution

    |

  15. From any point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , tangents a...

    Text Solution

    |

  16. The locus of the image of the focus of the ellipse (x^2)/(25)+(y^2)/9=...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. A point on the ellipse x^2+3y^2=37 where the normal is parallel to the...

    Text Solution

    |

  19. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

    Text Solution

    |

  20. If a pair of variable straight lines x^2 + 4y^2+alpha xy =0 (where alp...

    Text Solution

    |