Home
Class 12
MATHS
A hyperbola passes through a focus of th...

A hyperbola passes through a focus of the ellips ` (x^(2))/(169) +(y^(2))/( 25) =1 . ` Its transverse and conjugates axes coincide respectively with the major and minor axes of the ellips The product of eccetricities is 1. Then the equation of the hyperbola is

A

` (x^(2))/( 169) =1`

B

` (x^(2))/( 144) -(y^(2))/( 25) =1`

C

` (x^(2))/(25) -(y^(2))/(9) =1`

D

` (x^(2))/( 144) -(y^(2))/( 9)=1`

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

The equation of the transverse and cojugate axes of a hyperbola are respectively x+ 2y -3=0 ,2x -y+4=0 and their respectively length are sqrt 2 and 2//sqrt 3 . The equation of the hyperbola is

If a hyperbola has one focus at the origin and its eccentricity is sqrt2 .One of the directrices is x+y+1=0 . Then the centre of the hyperbola is

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.

The equation of the conjugate axis of the hyperbola ((x-5)^(2))/(16) -((y-4)^(2))/(9) =1 is

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

DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The foci of the ellips (x^(2))/( 16) +(y^(2))/( b^(2) ) =1 and the h...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The equations of the tangents to the hyperbola 9x^(2) -16y^(2) =144 ...

    Text Solution

    |

  15. The equations of the tangents to the hyperbola 3x^(2) -4y^(2) =12 whi...

    Text Solution

    |

  16. The equations of the tangents to the hyperbola 4x^(2) -5y^(2) =20 wh...

    Text Solution

    |

  17. Equation of one of the tangents passing through (2, 8) to the hyperbol...

    Text Solution

    |

  18. The point of contact of 5x+6y+1=0 to the hyperbola 2x^(2)-3y^(2)=2 is

    Text Solution

    |

  19. The number of tangents to x^(2)//9 -y^(2) //4=1 through (6,2) is

    Text Solution

    |

  20. If m1,m2 are slopes of the tangents to the hyperbola x^(2) //25 -y^...

    Text Solution

    |