Home
Class 12
MATHS
The equation to the hyperbola having its...

The equation to the hyperbola having its eccentricity 2 and the distance between its foci is 8 is

A

`(x^(2))/(12)-(y^(2))/(4)=1`

B

`(x^(2))/(4)-(y^(2))/(12)=1`

C

`(x^(2))/(8)-(y^(2))/(2)=1`

D

`(x^(2))/(16)-(y^(2))/(9)=1`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |27 Videos

  • COMPLEX NUMBERS

    BITSAT GUIDE|Exercise BITSET Archives |13 Videos

  • DEFINITE INTEGRALS AND ITS APPLICATIONS

    BITSAT GUIDE|Exercise BITSAT Archives |25 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the hyperbola with eccentricity sqrt(2) and the distance between whose foci is 16.

Find the equation of the hyperbola whose eccentricity is sqrt(2) and the distance between the foci is 16, taking transverse and conjugate axes of the hyperbola as x and y-axes respectively.

Find th equation of the hyperbola eccentricity is 2 and the distance between foci 16.

Write the equation of the hyperbola of eccentricity sqrt(2) if it is known that the distance between its foci is 16.

Find the equation of the hyperbola in standard form , if : eccentricity = 3/2 and distance between directrices = 8/3

if in a hyperbola the eccentricity is sqrt(3) and the distance between the foci is 9 then the equation of hyperbola in the standard form is:

Equation of the hyperbola with eccentricity (3)/(2) and foci at (2,0) is

BITSAT GUIDE-CONIC SECTIONS-BITSAT ARCHIVES
  1. The difference of the focal distances of any point on the hyperbola is...

    Text Solution

    |

  2. If the focus of a parabola is at (0, -3) and its directrix is y = 3, t...

    Text Solution

    |

  3. The length of tangent from (5,1) to the circle x^(2)+y^(2)+6x-4y-3=0 ...

    Text Solution

    |

  4. The length of the latus rectum of the parabola 169{(x-1)^2+(y-3)^2}=(5...

    Text Solution

    |

  5. If the centre, one of the foci and semi-major axis of an ellipse are (...

    Text Solution

    |

  6. The radius of the director circle of the hyperbola (x^(2))/(a^(2))-(y^...

    Text Solution

    |

  7. The equation of the chord of y^(2) = 8x which is bisected at (2, - 3),...

    Text Solution

    |

  8. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

    Text Solution

    |

  9. The line y=bt meets the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in real poin...

    Text Solution

    |

  10. The distance between the foci of the hyperbola x^(2)-3y^(2)-4x-6y-11=0...

    Text Solution

    |

  11. The length of the common chord of the ellipse ((x-1)^2)/(9) + ((y-2)^2...

    Text Solution

    |

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

    Text Solution

    |

  13. The equation of the parabola with its vertex at (1, 1) and focus (3, 1...

    Text Solution

    |

  14. The ends of the latusrectum of the conic x^(2) + 10x - 1...

    Text Solution

    |

  15. The equation to the hyperbola having its eccentricity 2 and the distan...

    Text Solution

    |

  16. The sum of the focal distances of any point on the conic (x^(2))/(25)+...

    Text Solution

    |

  17. The equation of a parabola which passes through the point of intersect...

    Text Solution

    |

  18. The point (4, -3) with respect to the ellipse 4x^(2) + 5y^(2) = 1

    Text Solution

    |

  19. The tangents from a point (2sqrt(2),1) to the hyperbola 16x^(2)-25y^(2...

    Text Solution

    |

  20. The equation of a straight line drawn through the focus of the parabol...

    Text Solution

    |