Home
Class 12
MATHS
The radius of the auxiliary circle of th...

The radius of the auxiliary circle of the hyperbola ` x^(2)//25-y^(2) //9=1 ` is

A

3

B

4

C

5

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B|32 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 1|4 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos
  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

Similar Questions

Explore conceptually related problems

The radius of the director circle of the hyperbola x^2//25-y^(2)//9=1 is

The auxiliary circle of the hyperbola xy=9 is:

Find the equation of the auxiliarly circle of the hyperbola (x^(2))/(6)-(y^(2))/(4) = 1

The equations of the auxiliary circle of x^(2) //16-y^(2) //25 =1 is

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

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

The equations of the asymptotes of the hyperbola 4x^(2) -9y^(2) =36 are

The equation to the pair of asymptotes of the hyperbola x^(2)/9-y^(2)/5=1 is

The equation of the normal to the hyperbola (x^(2))/(25) -(y^(2))/(9) =1 at the point theta = (pi)/(4) is

Find the eccentricity, foci, length of latusrectum and the equations to the directrices of the hyperbola (x^(2))/(16)-(y^(2))/(9) = 1

DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The equations of the direcrtor cirlce of x^(2) //12 -y^(2)//8=1 is

    Text Solution

    |

  2. The equations of the auxiliary circle of x^(2) //16-y^(2) //25 =1 is

    Text Solution

    |

  3. The radius of the auxiliary circle of the hyperbola x^(2)//25-y^(2) /...

    Text Solution

    |

  4. The tangents at a point P on x^(2)//a^(2) -y^(2)//b^(2) =1 cuts one ...

    Text Solution

    |

  5. The locus of the point of interection of two tangents of the hyperbola...

    Text Solution

    |

  6. The locus of the point of interection of two tangents of the hyperbola...

    Text Solution

    |

  7. The locus of the point of intersection of two tangents to the hyperbol...

    Text Solution

    |

  8. Tangents to the hyperbola x^(2) //a^(2) -y^(2)//b^(2) =1 make angle ...

    Text Solution

    |

  9. Tangents to the hyperbola x^(2)//a^(2) -y^(2)//b^(2)= 1 make angle th...

    Text Solution

    |

  10. Tangents to x^(2) //a^(2) -y^(2)//b^(2) =1 make angles theta1 ,thet...

    Text Solution

    |

  11. Tangents drawn from (alpha , beta ) to the hyperbola x^(2) //a^(2) ...

    Text Solution

    |

  12. The locus of the point of intersection of tangents to the hyperbola x^...

    Text Solution

    |

  13. A line through the origin meets the circle x^(2) +y^(2) =a^(2) at P ...

    Text Solution

    |

  14. The product of the perpendicular from the foci on any tangent to the h...

    Text Solution

    |

  15. From any point on the hyperbola x^(2) -y^(2) =a^(2) -b^(2) two tange...

    Text Solution

    |

  16. The equations to the common tangents to the two hyperbolas x^(2)//a^(2...

    Text Solution

    |

  17. The equation of the common tangents drawn to the curves y^(2) =8x and...

    Text Solution

    |

  18. The length of the straight line x-3y =1 intercept by the hyperbola x...

    Text Solution

    |

  19. The product of the perpendicular from the foci on any tangent to the h...

    Text Solution

    |

  20. The equation to the pair of asymptotes of the hyperbola 2x^(2) -y^(2)...

    Text Solution

    |