Home
Class 12
MATHS
The eccentricity of the conic represente...

The eccentricity of the conic represented by `x^2-y^2-4x+4y+16=0` is 1 (b) `sqrt(2)` (c) 2 (d) `1/2`

A

`1`

B

`(1)/(2)`

C

`-1`

D

`sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 3|17 Videos

  • HYPERBOLA

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

The eccentricity of the conic represented by 2x^(2)+5xy+2y^(2)+11x-7y-4=0 is

The eccentricity of the conic x ^(2) -4y ^(2) =1 is

The eccentricity of the conic 3x^(2)+4y^(2)-6x-8y+4=0 is

The eccentricity of the conic represented by sqrt((x+2)^(2)+y^(2))+sqrt((x-2)^(2)+y^(2))=8 is

the eccentricity to the conic 4x^(2) +16y^(2)-24x-32y=1 is

ARIHANT MATHS-HYPERBOLA-Exercise For Session 1
  1. The eccentricity of the conic represented by x^2-y^2-4x+4y+16=0 is 1 (...

    Text Solution

    |

  2. If e(1) and e(2) represent the eccentricity of the curves 6x^(2) - 9y^...

    Text Solution

    |

  3. The transverse axis of a hyperbola is of length 2a and a vertex divide...

    Text Solution

    |

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

    Text Solution

    |

  5. The straight line x+y=sqrt2p will touch the hyperbola 4x^2-9y^2=36 i...

    Text Solution

    |

  6. The equation of the tangent parallel to y-x+5=0" drawan to "(x^(2))/(3...

    Text Solution

    |

  7. If e and e' are the eccentricities of the hyperbola x^2/a^2-y^2/b^2=1...

    Text Solution

    |

  8. If e and e' are the eccentricities of the ellipse 5x^(2) + 9 y^(2) = ...

    Text Solution

    |

  9. The equation (x^(2))/(10-lambda)+(y^(2))/(6-lambda)=1 represents

    Text Solution

    |

  10. Find the centre, eccentricity, foci and directrices of the hyperbola :...

    Text Solution

    |

  11. For hyperbola x^2sec^2alpha-ycos e c^2alpha=1, which of the following ...

    Text Solution

    |

  12. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

    Text Solution

    |

  13. Find the standard equation of hyperbola in each of the following cases...

    Text Solution

    |

  14. Find the equation of the hyperbola whose foaci are (0, 5) and (-2, 5) ...

    Text Solution

    |

  15. Prove that the straight lines x/a-y/b =m and x/a+y/b=1/m, where a and ...

    Text Solution

    |

  16. Find the centre, eccentricity and length of axes of the hyperbola 3x^...

    Text Solution

    |

  17. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

    Text Solution

    |

  18. If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45, then l...

    Text Solution

    |

  19. Find the equation of tangents to the curve 4x^2-9y^2=1 which are paral...

    Text Solution

    |