Home
Class 11
MATHS
The foci of the hyperbola 4x^2-9y^2=36 i...

The foci of the hyperbola `4x^2-9y^2=36` is

A

`(0,+-sqrt(13)/2)`

B

`(+-sqrt(13)/2,0)`

C

`(0,+-sqrt(13)`

D

`(+-sqrt(13),0)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE AND SUB-MULTIPLE ANGLES

    PATHFINDER|Exercise QUESTION BANK|21 Videos
  • PERMUTATION AND COMBINATION

    PATHFINDER|Exercise QUESTION BANK|223 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the hyperbola 4x^(2)-9y^(2) =36 is:

If S and S' are the foci of the hyperbola 4y^2 - 3x^2 = 48 and P is the any point on this hyperbola, then prove that |SP - S'P| = constant.

Show that the difference of the focal distances of any point on the hyperbola 9x^2-4y^2 = 36 is equal to its transverse axis.

The eccentricity of the hyperbola x^2-y^2=4 is

The coodinates of the centre of the hyperbola 4x ^(2) -9y^(2) +8x+36y=68 are-

If e_(1) and e_(2) are the respective eccentricities of the hyperbola 4x^(2) - 9y^(2) = 36 and the ellipse 2x^(2) + 9y^(2) = 36 , then which of the following relation is true?

Find the equation of normal to the hyperbola 4x^(2)-9y^(2)=36 , at the point (1,2)

The coordinates of foci of the hyperbola x^(2) - y^(2) = 4 are-

Find the point on the hyperbola x^2-9y^2=9 where the line 5x+12 y=9 touches it.

The straight line x+ y= sqrt(2) p will touch the hyperbola 4x^(2) - 9y^(2) = 36 if-

PATHFINDER-PARABOLA, ELLIPSE AND HYPERBOLA-QUESTION BANK
  1. The centre of the hyperbola 9x^2-16y^2-18x+64y-199=0 is

    Text Solution

    |

  2. If foci of the ellipse (x^(2))/(16) + (y^(2))/(b^(2)) = 1 coincide wit...

    Text Solution

    |

  3. The eccentricity of the hyperbola x^2-y^2=4 is

    Text Solution

    |

  4. Find the equation to the locus represented by the parametric equation...

    Text Solution

    |

  5. The equation of the auxiliary circle of the hyperbola x^2/a^2-y^2/b^2=...

    Text Solution

    |

  6. The eccentricity of the curve 9x^2-25y^2=225 is

    Text Solution

    |

  7. The foci of the hyperbola 4x^2-9y^2=36 is

    Text Solution

    |

  8. If the length of conjugate axis and the length of latus rectum of a hy...

    Text Solution

    |

  9. The equations of directrices of hyperbola 4x^2-9y^2-16x-54y-101=0 are

    Text Solution

    |

  10. Find the equation of the hyperbola whose eccentricity is 3, focus is...

    Text Solution

    |

  11. Show that the difference of the distances from each focus of any point...

    Text Solution

    |

  12. Show that the eccentricities of the hyperbolas x^2/16-y^2/9=1 and x^2/...

    Text Solution

    |

  13. Find the equation of the hyperbola, whose axes are axes of coordinates...

    Text Solution

    |

  14. Find the equation of the hyperbola whose vertices are (+-4,0) and foci...

    Text Solution

    |

  15. Show that 3x^2-3y^2-18x+12y+2=0 represents a rectangular hyperbola. Fi...

    Text Solution

    |

  16. In a rectangular hyperbola x^2-y^2=a^2, prove that SP.S'P=CP^2, wher...

    Text Solution

    |

  17. If e1 and e2 be the eccentricities of a hyperbola and its conjugate, s...

    Text Solution

    |

  18. Find the equation of the hyperbola, whose axes are axes of coordinates...

    Text Solution

    |

  19. The length of the intercepts on the x and y-axes of a circle are 2a an...

    Text Solution

    |

  20. If the chord joining the points (asectheta, btantheta)and (asecphi, bt...

    Text Solution

    |