Home
Class 12
MATHS
The circle x^2+y^2-8x=0 and hyperbola ...

The circle `x^2+y^2-8x=0` and hyperbola `x^2/9-y^2/4=1` intersect at the points A and B Equation of the circle with AB as its diameter is

A

`x^(2)+y^(2)-12x+24=0`

B

`x^(2)+y^(2)+12x+24=0`

C

`x^(2)+y^(2)+24x-12=0`

D

`x^(2)+y^(2)-24x-12=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|7 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

The circle x^(2)+y^(2)8x=0 and hyperbola (x^(2))/(9)(y^(2))/(4)=1 intersect at points A and B .Then Equation of the circle with A B as its diameter is

The circle x^(2)+y^(2)-8x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 I intersect at the points A and B.Equation of a common tangent with positive slope to the circle as well as to the hyperbola is

The circle x^(2)+y^(2)-8x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 intersect at the points A and B . The equation of a common tangent with positive slope to the circle as well as to the hyperbola, is

The circles x^2 + y^2 - 4x - 81 =0 and x^2 + y^2 + 24x - 81=0 intersect each other at A and B . The equation of the circle with AB as the diameter is : (A) x^2 + y^2 = 81 (B) x^2 + y^2 = 9 (C) x^2 + y^2 = 16 (D) x^2 + y^2 = 1

Consider the equation of circle C_(1)=x^(2)+y^(2)-6x-8y+5=0 and C_(2)=x^(2)+y^(2)-2x+4y-3=0 intersecting at A and B . Q: Equation of circle with AB as its diameter is

The line x=2y intersects the ellipse (x^(2))/4+y^(2)=1 at the points P and Q . The equation of the circle with PQ as diameter is

If the circle x^(2)+y^(2)+3x+2y+1=0 cuts another circles x^(2)+y^(2)+3x+4y+2=0 in A and B ,then the equation of the circle with AB as a diameter is

Let the line segment joining the centres of the circles x^(2)-2x+y^(2)=0 and x^(2)+y^(2)+4x+8y+16=0 intersect the circles at P and Q respectively. Then the equation of the circle with PQ as its diameter is

If the line x cos alpha+y sin alpha=p and the circle x^(2)+y^(2)=a^(2) intersect at A and B then the equation of the circle on AB as diamerter is

ARIHANT MATHS-HYPERBOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The locus a point P(alpha,beta) moving under the condition that the li...

    Text Solution

    |

  2. Let a hyperbola passes through the focus of the ellipse (x^(2))/(25)+(...

    Text Solution

    |

  3. A hyperbola, having the transverse axis of length 2sin theta, is conf...

    Text Solution

    |

  4. Two braches of a hyperbola

    Text Solution

    |

  5. For the hyperbola (x^2)/(cos^2alpha)-(y^2)/(sin^2alpha)=1 , which of ...

    Text Solution

    |

  6. Consider a branch of the hypebola x^2-2y^2-2sqrt2x-4sqrt2y-6=0 with ve...

    Text Solution

    |

  7. An ellipse intersects the hyperbola 2x^(2)-2y^(2)=1 orthogonally. The ...

    Text Solution

    |

  8. The circle x^(2)+y^(2)-8x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 in...

    Text Solution

    |

  9. The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 intersect at the...

    Text Solution

    |

  10. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

    Text Solution

    |

  11. Let P(6,3) be a point on the hyperbola parabola x^2/a^2-y^2/b^2=1If t...

    Text Solution

    |

  12. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

    Text Solution

    |

  13. Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the srai...

    Text Solution

    |

  14. Consider the hyperbola H:x^2-y^2=1 and a circle S with centre N(x2,0) ...

    Text Solution

    |

  15. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

    Text Solution

    |

  16. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

    Text Solution

    |

  17. If 2x-y+1=0 is a tangent to the hyperbola (x^2)/(a^2)-(y^2)/(16)=1 the...

    Text Solution

    |