Home
Class 11
MATHS
A hyperbola passes through (2,3) and has...

A hyperbola passes through (2,3) and has asymptotes `3x-4y+5=0` and `12 x+5y-40=0` . Then, the equation of its transverse axis is
(a) `77 x-21 y-265=0` (b)`21 x-77 y+265=0` (c) `21 x-77 y-265=0` (d)`21 x+77 y-265=0`

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

A hyperbola passes through (2,3) and has asymptotes 3x-4y+5=0 and 12 x+5y-40=0 . Then, the equation of its transverse axis is 77 x-21 y-265=0 21 x-77 y+265=0 21 x-77 y-265=0 21 x+77 y-265=0

If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 as its asymptotes, then find the equation of its transvers and conjugate axes.

If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 as its asymptotes, then find the equation of its transvers and conjugate axes.

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

The equation of the transvers axis of the hyperbola (x-3)^2+(y+1)^2=(4x+3y)^2 is x+3y=0 (b) 4x+3y=9 3x-4y=13 (d) 4x+3y=0

Let (2,3) be the focus of a parabola and x + y = 0 and x-y= 0 be its two tangents. Then equation of its directrix will be (a) 2x - 3y = 0 (b) 3x +4y = 0 (c) x +y = 5 (d) 12x -5y +1 = 0

The equation of tangent to hyperbola 4x^2-5y^2=20 which is parallel to x-y=2 is (a) x-y+3=0 (b) x-y+1=0 (c) x-y=0 (d) x-y-3=0

The equation of the transvers axis of the hyperbola (x-3)^2+(y=1)^2+(4x+3y)^2 is x+3y=0 (b) 4x+3y=9 3x-4y=13 (d) 4x+3y=0

Find the equation of tangent to the conic x^2-y^2-8x+2y+11=0 at (2,1) .

Find the equation of tangent to the conic x^2-y^2-8x+2y+11=0 at (2,1)

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If two distinct tangents can be drawn from the Point (alpha,2) on diff...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

    Text Solution

    |

  12. The equation 3x^2+4y^2-18+16 y+43=k represents an empty set, if k<0 ...

    Text Solution

    |

  13. Which of the following is/are true about the ellipse x^2+4y^2-2x-16 y+...

    Text Solution

    |

  14. If a ray of light incident along the line 3x+(5-4sqrt(2))y=15 gets ref...

    Text Solution

    |

  15. If the sum of the slopes of the normal from a point P to the hyperbol...

    Text Solution

    |

  16. If the tangent at the point P(theta) to the ellipse 16 x^2+11 y^2=256 ...

    Text Solution

    |

  17. If the normal to the given hyperbola at the point (c t , c/t) meets th...

    Text Solution

    |

  18. If the equation of the ellipse is 3x^2+2y^2+6x-8y+5=0 , then which o...

    Text Solution

    |

  19. A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on th...

    Text Solution

    |

  20. If the chord through the points whose eccentric angles are theta and v...

    Text Solution

    |