Home
Class 12
MATHS
The equation of auxiliary circle of the ...

The equation of auxiliary circle of the hyperbola `(x^(2))/(4)-(y^(2))/(9)=1` is

A

`x^(2)+y^(2)=4`

B

`x^(2)+y^(2)=9`

C

`x^(2)+y^(2)=13`

D

`x^(2)+y^(2)=5`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos
  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

Similar Questions

Explore conceptually related problems

The equation of the director circle of the hyperbola (x^(2))/(16)-(y^(2))/(4)=1 is given by

The equation to the normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 "at "(-4,0) is

The equation of the auxiliary circle of the ellipse : 9x^(2)+4y^(2)-8y-32=0 is :

Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. (x^(2))/(16)-(y^(2))/(9)=1

The difference of focal distance of any point on the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 is

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x^(0), y^(0)).

The angle between the two asymptotes of the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 is

The product of the slopes of two tangents drawn to the hyperbola (x^(2))/(4)-(y^(2))/(9)=1 is 4 , Then the locus of the point of intersection of the tangent is

The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. If the latus-rectum of the ellipse is half the minor axis, then its ec...

    Text Solution

    |

  2. If C is the centre and L and L' are the ends of the latus-rectum of th...

    Text Solution

    |

  3. The equation of auxiliary circle of the hyperbola (x^(2))/(4)-(y^(2))/...

    Text Solution

    |

  4. Let E be the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and C be the circle x^(...

    Text Solution

    |

  5. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  6. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...

    Text Solution

    |

  7. Let P(x(1), y(1)) and Q(x(2), y(2)), y(1) lt 0, y(2) lt 0 be the end p...

    Text Solution

    |

  8. The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axi...

    Text Solution

    |

  9. The line passing through the extremity A of the major axis and extremi...

    Text Solution

    |

  10. A focus of an ellipse is at the origin. The directrix is the line x=4 ...

    Text Solution

    |

  11. The ellipse x^(2)+4 y^(2)=4 is inscribed in a rectangle aligned with c...

    Text Solution

    |

  12. Equation of the ellipse whose axes are the axes of co-ordinates and wh...

    Text Solution

    |

  13. The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

    Text Solution

    |

  14. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

    Text Solution

    |

  15. The eccentricity of an ellipse with centre at the origin which meets t...

    Text Solution

    |

  16. The equation to the ellipse (referred to its axes as the axes of x and...

    Text Solution

    |

  17. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

    Text Solution

    |

  18. The line L x+m y+n=0 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2)...

    Text Solution

    |

  19. The angle between the pair of tangents drawn from the point (1,2) to t...

    Text Solution

    |

  20. How many real tangents can be drawn to the ellipse 5 x^(2)+9 y^(2)=32 ...

    Text Solution

    |