Home
Class 12
MATHS
The equation of transverse axis of the h...

The equation of transverse axis of the hyperbola ` 5x^(2) -4y^(2) -30x -8y-39 =0` is

A

`x=0`

B

` x-3=0`

C

` x-2=0`

D

`x+3=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B|32 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 1|4 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos
  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

Similar Questions

Explore conceptually related problems

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

The length of the transverse axis of the hyperbola 4x^(2) -9y^(2) +8x + 40 =0 is

The length of the transverse axis of the hyperbola 9x^(2) - 16y^(2) -18x -32y - 151 =0 is

The centre of the hyperbola x^(2)-y^(2)-4x-2y-8=0 is

Find the equation of tangent to the hyperbola 3x^(2) - 4y^(2) = 8 at (2, - 1)

Find the eccentricity, length of latus rectum, centre, foci, vertices and the equatioin to the dircctriccs of the hyperola. (i) 4x^(2)-5y^(2)-16x+10y+31=0 (ii) 5x^(2)-4y^(2)+20x+8y-4=0 (iii) 4(y+3)^(2)-9(x-2)^(2)=1 (iv) 4x^(2)-9y^(2)-8x-32=0

The equations of the tangents to the hyperbola 4x^(2) -5y^(2) =20 which make an angle 60 ^(@) with the transverse axis are

The asymptotes of the hyperbola 6x^(2) +13xy +6y^(2) -7x -8y-26 =0 are

Find the equations of the tangents to the hyperbola x^(2) - 4y^(2) = 4 which are (i) parallel and , (ii) perpendicular to the line x + 2y = 0

DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The equations of the latus recta of the hyperbola 9x^(2) -16y^(2) -18...

    Text Solution

    |

  2. The equation of the conjugate axis of the hyperbola ((x-5)^(2))/(16) -...

    Text Solution

    |

  3. The equation of transverse axis of the hyperbola 5x^(2) -4y^(2) -30x ...

    Text Solution

    |

  4. The equation of the axes of the hyperbola 9x^(2) -16y^(2) +72x -32y -1...

    Text Solution

    |

  5. The equation of the hyperbola whose eccentricity 2 and foci are the fo...

    Text Solution

    |

  6. PN is the ordinate of any point P on the hyperbola x^(2)//a^(2) -y^(2...

    Text Solution

    |

  7. If the foci of the ellips (x^(2))/( 25)+ ( y^(2))/( 16) =1 and the hy...

    Text Solution

    |

  8. The foci of the ellips (x^(2))/( 16) +(y^(2))/( b^(2) ) =1 and the h...

    Text Solution

    |

  9. For the hyperbola (x^(2))/( cos ^(2) alpha ) -(y^(2))/(sin^(2) alpha ...

    Text Solution

    |

  10. A hyperbola passes through a focus of the ellips (x^(2))/(169) +(y^(2...

    Text Solution

    |

  11. The equation of the tangent to the hyperbola 3x^(2) -2y^(2) =10 at(2,...

    Text Solution

    |

  12. The equation of the normal to the hyperbola x^(2) -4y ^(2) =5 at (3,-...

    Text Solution

    |

  13. The sum and product of the slopes of the tangents to the hyperbola 2x...

    Text Solution

    |

  14. The condition that the line y = mx+c may be a tangent to the hyperbo...

    Text Solution

    |

  15. The condition that the line x cos alpha + y sin alpha =p to be a tange...

    Text Solution

    |

  16. The condition that the line (x)/(p) +(y)/( q) =1 to be a tangent to ...

    Text Solution

    |

  17. In the line 3x-y= k is a tangent to the hyperbola 3x^(2) -y^(2) =3 ...

    Text Solution

    |

  18. The values of m for which the line y =mx +2 become a tangent to the hy...

    Text Solution

    |

  19. The equation of the tangents to the hyperbola 3x^(2) -4y^(2) =12 whic...

    Text Solution

    |

  20. The equations of the tangents to the hyperbola 2x^(2) -3y^(2) =6 whic...

    Text Solution

    |