Home
Class 12
MATHS
For all values of a and, b show that the...

For all values of a and, b show that the circle `(x-2)(x-2+a)+(y+3) (y+3+b)=0` bisects the circumference of the circle `(x-2)^(2)+(y+3)^(2)=36`.

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise CALCULUS|84 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

For all values of a and b, show that the circle (x - 2) (x - 2 + a) + (y + 3) (y +3 + b) = 36 bisectsthe circumference of the circle. (x-2)^2 + (y + 3)^2 = 36.

If the circel x ^(2) +y^(2) +6x -2y +k=0 bisects the circumference of the circel x ^(2) +y^(2) +2x -6y-15=0, then the value of k is-

Which of the following points lies on the circumference of the circle (x-2)^(2) + (y+3)^(2) = 25 ?

The circle (x+2)^(2) + (y-3)^(2) = 4 touches -

If the circle x^2+y^2+6x+8y+a=0 bisects the circumference of the circle x^2 + y^2 + 2x - 6y - b = 0 then (a + b) is equal to

The locus of the centre of the circle which bisects the circumferences of the circles x^2 + y^2 = 4 & x^2 + y^2-2x + 6y + 1 =0 is :

Show that the circle x^(2)+y^(2)-2y-15=0 lies completely within the circle x^(2)+y^(2)-x-30=0

If the chord of contact of tangents from a point on the circle x^(2) + y^(2) = a^(2) to the circle x^(2)+ y^(2)= b^(2) touches the circle x^(2) + y^(2) = c^(2) , then a, b, c are in-

The angle between the two tangents drawn from a point p to the circle x^(2)+y^(2)=a^(2) is 120^(@) . Show that the locus of P is the circle x^(2)+y^(2)=(4a^(2))/(3)

The circle x^2+y^2-2x-2y+k=0 represents a point circle when k.=

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
  1. If two distinct chords, drawn from the point (p,q) on the circle x^(2)...

    Text Solution

    |

  2. A variable line L passing through the point B(2,5) intesects the lines...

    Text Solution

    |

  3. For all values of a and, b show that the circle (x-2)(x-2+a)+(y+3) (y+...

    Text Solution

    |

  4. A circle C(1) of diameter 6 units, is in the first quadrant and it tou...

    Text Solution

    |

  5. Find he point on the straight line y=2x+11 which is nearest to the cir...

    Text Solution

    |

  6. On the parabola y^(2)=4ax, P is the point with parameter t,Q is the op...

    Text Solution

    |

  7. Through the vertex A of a parabola the chords AP and AQ are drawn at ...

    Text Solution

    |

  8. Show that the sum of the ordinate of end of any chord of a system of p...

    Text Solution

    |

  9. An equilateral triangle is inscribed within the parabola y^(2)=4ax wit...

    Text Solution

    |

  10. P,Q and R three points on the parabola y^(2)=4ax. If Pq passes through...

    Text Solution

    |

  11. A line of length (a+b) unit moves in such a way that its ends are alwa...

    Text Solution

    |

  12. show that the length of the focal chord of the ellipse (x^(2))/(a^(2))...

    Text Solution

    |

  13. A rod of given length (a+b) unit moves so that its ends are always on ...

    Text Solution

    |

  14. If theta and phi be the eccentric angles of the extremities of a focal...

    Text Solution

    |

  15. theta and phi are the eccentric angles of two points on an ellipse who...

    Text Solution

    |

  16. PQ and PR are two focal chords of the ellipse (x^(2))/(a^(2))+(y^(2))/...

    Text Solution

    |

  17. Find the locus of middle points of chords of the ellipse (x^(2))/(a^(2...

    Text Solution

    |

  18. Find the length of chord of the ellipse (x^(2))/(25)+(y^(2))/(16)=1, ...

    Text Solution

    |

  19. An ellipse has OB as a semi-minor axis, F and F' are its two foci and ...

    Text Solution

    |

  20. Let P b any point on the hyperbola(x^(2))/(a^(2))-(y^(2))/(b^(2))=1 w...

    Text Solution

    |