Home
Class 12
MATHS
If P and Q are the points of intersectio...

If P and Q are the points of intersection of the circles `x^2+""y^2+""3x""+""7y""+""2p""""5""=""0` and `x^2+""y^2+""2x""+""2y""""p^2=""0` , then there is a circle passing through P, Q and `(1,""1)` for (1) all values of p (2) all except one value of p (3) all except two values of p (4) exactly one value of p

A

all except one value of p

B

all except two values of p

C

exactly one value of p

D

all values of p

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

The lines quad p(p^(2)+1)x-y+q=0 and (p^(2)+1)^(2)x+(p^(2)+1)y+2q=0 are perpendicular to a common line for (1) no value of p(4) more than two values of p two values of p(4) more than two values of p

The radical centre of the three circles is at the origin. The equations of the two of the circles are x^(2)+y^(2)=1 and x^(2)+y^(2)+4x+4y-1=0 . If the third circle passes through the points (1, 1) and (-2, 1), and its radius can be expressed in the form of (p)/(q) , where p and q are relatively prime positive integers. Find the value of (p+q) .

If the circles x^(2)+y^(2) +5Kx+2y + K=0 and2(x^(2)+y^(2))+2Kx +3y-1=0, (KinR) , intersect at the points P and Q, then the line 4x + 5y - K = 0 passes through P and Q, for

If the point (3,4) lies inside and the point (-3,-4) lies outside the circle x ^(2) + y ^(2) - 7x +5y -p=0, then the set of all possible values of p is

If the mid-point of the line joining (3, 4) and (p, 7) is (x, y) and 2x + 2y + 1 = 0, then what will be the value of p?

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

ARIHANT MATHS-CIRCLE -Exercise (Subjective Type Questions)
  1. Tangents drawn from the point P(1,8) to the circle x^2 +y^2 -6x -4y-11...

    Text Solution

    |

  2. The centres of two circles C(1) and C(2) each of unit radius are at a...

    Text Solution

    |

  3. If P and Q are the points of intersection of the circles x^2+""y^2+...

    Text Solution

    |

  4. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

    Text Solution

    |

  5. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |

  6. The straight line 2x-3y = 1 divides the circular region x^2+ y^2 le6 i...

    Text Solution

    |

  7. The two circles x^2+""y^2=""a x and x^2+""y^2=""c^2(c"">""0) touch eac...

    Text Solution

    |

  8. The locus of the middle point of the chord of contact of tangents draw...

    Text Solution

    |

  9. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

    Text Solution

    |

  10. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

    Text Solution

    |

  11. The length of the diameter of the circle which touches the x-axis at ...

    Text Solution

    |

  12. The circle passing through (1, -2) and touching the axis of x at (3...

    Text Solution

    |

  13. Circle(s) touching x-axis at a distance 3 from the origin and having a...

    Text Solution

    |

  14. Let C be the circle with centre at (1, 1) and radius = 1. If T is t...

    Text Solution

    |

  15. A circle S passes through the point (0, 1) and is orthogonal to the ci...

    Text Solution

    |

  16. Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+...

    Text Solution

    |

  17. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

  18. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

    Text Solution

    |

  19. If one of the diameters of the circle, given by the equation, x^2+y^2-...

    Text Solution

    |

  20. Let RS be the diameter of the circle x^2+y^2=1, where S is the point (...

    Text Solution

    |