Home
Class 12
MATHS
If e(1) is the eccentricity of the ellip...

If `e_(1)` is the eccentricity of the ellipse `(x^(2))/(16)+(y^(2))/(25)=1` and `e_(2)` is the eccentricity of the hyperbola passing through the foci of the ellipse and `e_(1) . e_(2)=1`, then the equation of the hyperbola

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the ellipse (x^(2))/(36)+ (y^(2))/(16)=1 is

The eccentricity to the ellipse (x^(2))/(36)+(y^(2))/(16)=1 is

Find the eccentricity of the ellipse (x^2)/(9)+(y^2)/(4)=1

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

The eccentricity of the ellipse 5 x^(2)+9 y^(2)=1 is

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

Find the eccentricity of the ellipse x^2/81+y^2/36=1

Find the eccentricity of the ellipse x^2/4+y^2/16=1

If e is the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , (altb) then

The eccentricity of the ellipse 9x^(2) + 25y^(2) = 225 is

HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. Which one of the following is independent of alpha in the hyperbola (0...

    Text Solution

    |

  2. 2x +sqrt6y=2 touches the hyperbola x^2-2y^2=4 , then the point of cont...

    Text Solution

    |

  3. If e(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25)=1...

    Text Solution

    |

  4. The equation of the chord joining the points (x1,y1) and (x2,y2) on th...

    Text Solution

    |

  5. The locus of a point P(alpha, beta) moving under the condition that th...

    Text Solution

    |

  6. The curve represented by x=a(cosh theta+sinh theta), y=b(cosh theta-si...

    Text Solution

    |

  7. Combined equations of asymptotes of the hyperbola 2 x^(2)-3 y^(2)+4 x-...

    Text Solution

    |

  8. Equation of the conic with focus at (1,-1) directrix along x-y+1=0 and...

    Text Solution

    |

  9. If e(1) and e(2) are the eccentricities of a hyperbola and its conjuga...

    Text Solution

    |

  10. If e and e' be the eccentricities of a hyperbolas xy=c^2 and x^2-y^2=c...

    Text Solution

    |

  11. The angle between the asymptotes of the hyperbola 3 x^(2)-y^(2)=3 is

    Text Solution

    |

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

    Text Solution

    |

  13. The vertices of a hyperbola are (2,0),(-2,0) and the foci are (3,0),(-...

    Text Solution

    |

  14. The equation of a line which touches both the curves y^(2)=4 x and 3 x...

    Text Solution

    |

  15. The eccentricity of the hyperbola 4 x^(2)-9 y^(2)=2 a x+b^(2) is

    Text Solution

    |

  16. The product of the perpendicular from any poitn P(x,y) on the hyperbol...

    Text Solution

    |

  17. The product of the perpendicular from any poitn P(x,y) on the hyperbol...

    Text Solution

    |

  18. If e and e^(prime) are the eccentricities of the ellipse 5 x^(2)+9 y^(...

    Text Solution

    |

  19. If the eceentricity of a hyperbola is sqrt(7) then the eccentricity of...

    Text Solution

    |

  20. Any point on the hyperbola ((x+1)^(2))/(16)-((y-2)^(2))/(4)=1 is of ...

    Text Solution

    |