Home
Class 12
MATHS
Find the eccentricity of the hyperbola 9...

Find the eccentricity of the hyperbola `9y^(2)-4x^(2)=36`

Text Solution

Verified by Experts

The correct Answer is:
`sqrt((13)/(4))`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 1|178 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|111 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the hyperbola x^(2)-y^(2)=9 is

The eccentricity of the hyperbola 3x^(2)-4y^(2)=-12 is

Find the eccentricity of hyperbola x^(2)-9y^(2)=1 .

Write the eccentricity of the hyperbola 9x^2-16 y^2=144.

The eccentricity of the hyperbola 9x^(2) -16y^(2) =144 is

The eccentricity of the hyperbola 9x^(2)-16y^(2)+72x-32y-16=0 , is

Find the coordinate of the foci, vertices, eccentricity and the length of the latus rectum of the hyperbola 9y ^(2) - 4x ^(2) = 36

The eccentricity of the hyperbola x^(2) - y^(2) = 100 is ________

Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 be the reciprocal to that of the ellipse x^(2)+4y^(2)=4 . If the hyperbola passes through a focus of the ellipse, then the equation of the hyperbola, is

the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

VMC MODULES ENGLISH-CONIC SECTIONS-JEE ADVANCED ARCHIVE
  1. Find the eccentricity of the hyperbola 9y^(2)-4x^(2)=36

    Text Solution

    |

  2. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  3. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

  4. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

  5. If x+y=k is normal to y^2=12 x , then k is (a)3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  6. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  7. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

    Text Solution

    |

  8. The focal chord to y^2=16 x is tangent to (x-6)^2+y^2=2. Then the poss...

    Text Solution

    |

  9. Let P be the point on the parabola y^(2)4x which is at the shortest di...

    Text Solution

    |

  10. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

    Text Solution

    |

  11. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

    Text Solution

    |

  12. Tangent PT and normal PN to the parabola y^(2)=4ax at a point P on it ...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

    Text Solution

    |

  17. Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...

    Text Solution

    |

  18. Tangent is drawn to parabola y^(2)-2y-4x+5=0 at a point P which cuts t...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

    Text Solution

    |

  21. If the tangent at (1,7) to curve x^(2)=y-6 touches the circle x^(2)+y...

    Text Solution

    |