Home
Class 12
MATHS
The equation of transverse axis of hyper...

The equation of transverse axis of hyperbola (passing through origin) having asymptotes `3x-4y=1 and 4x-3y=6` is `ax+by-c=0, ,a, b in N and g, c, d(a, b, c)=1` then the value of `a+b+c` is

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Subjective Type Questions|1 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 1|19 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

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.

The equation of the transverse and conugate axes of a hyperbola are respectively 3x+4y-7=0 and 4x-3y+8=0 and their respective lengths are 4 and 6. Find the equation of the hyperbola.

If (a,4) lies on the graph of 3x+y=10 then the value of a is 3(b)1(c)3(d)4

The equation of the asymptotes of a hyperbola are 4x+3y+2=0 and 3x-4y+1=0 then equations of axes arex

Find the equation of the line passing through the points (–1, 1) and (2, –4). (a)5x+3y+2=0 (b)3x+6y=9 (c)4x-6y-8=0 (d)None of these

Find the asymptotes and axes of hyperbola having equation xy-3y-4x+7=0 .

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

The equation of the line passing through the centre of a rectangular hyperbola is x-y-1=0 . If one of its asymptotoes is 3x-4y-6=0 , the equation of the other asymptote is

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

ARIHANT MATHS-HYPERBOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The equation of transverse axis of hyperbola (passing through origin) ...

    Text Solution

    |

  2. The locus a point P(alpha,beta) moving under the condition that the li...

    Text Solution

    |

  3. Let a hyperbola passes through the focus of the ellipse (x^(2))/(25)+(...

    Text Solution

    |

  4. A hyperbola, having the transverse axis of length 2sin theta, is conf...

    Text Solution

    |

  5. Two braches of a hyperbola

    Text Solution

    |

  6. For the hyperbola (x^2)/(cos^2alpha)-(y^2)/(sin^2alpha)=1 , which of ...

    Text Solution

    |

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

    Text Solution

    |

  8. An ellipse intersects the hyperbola 2x^(2)-2y^(2)=1 orthogonally. The ...

    Text Solution

    |

  9. The circle x^(2)+y^(2)-8x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 in...

    Text Solution

    |

  10. The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 intersect at the...

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

    Text Solution

    |

  13. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

    Text Solution

    |

  14. Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the srai...

    Text Solution

    |

  15. Consider the hyperbola H:x^2-y^2=1 and a circle S with centre N(x2,0) ...

    Text Solution

    |

  16. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

    Text Solution

    |

  17. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

    Text Solution

    |

  18. If 2x-y+1=0 is a tangent to the hyperbola (x^2)/(a^2)-(y^2)/(16)=1 the...

    Text Solution

    |