Home
Class 12
MATHS
Find the equation of the hyperbola with ...

Find the equation of the hyperbola with eccentricity`3/2` and foci at `(pm2,0)`

Text Solution

Verified by Experts

The correct Answer is:
`(x^2)/(4)-(y^2)/(5)=(4)/(9)`
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

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

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

Find the equation of the hyperbole with eccentricity 5/3 and foci (pm5,0).

The foci of a hyperbola coincide with the foci of the ellipse (x^2)/(25)+(y^2)/9=1. Find the equation of the hyperbola, if its eccentricity is 2.

Find the equation of the hyperbola with vertices ( pm 5,0) and foci ( pm 7,0)

Find the equation of the hyperbola whose vertices are (pm3,0) and foci at (pm5,0)

Find the equation of the hyperbola having e=32 and foci at (+- 3,0)

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 the equation of the ellipse whose eccentricity is 1/2 and whose foci are at the points (pm2, 0) .

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

VMC MODULES ENGLISH-CONIC SECTIONS-JEE ADVANCED ARCHIVE
  1. Find the equation of the hyperbola with eccentricity3/2 and foci at (p...

    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

    |