Home
Class 12
MATHS
Consider a family of circles passing thr...

Consider a family of circles passing through two fixed points `A (3,7) & B(6,5)` then the chords in which the circle `x^2 + y^2_4x-6y-3=0` cuts the members of the family are concurrent at a point.Find the coordinates of this point.

Text Solution

Verified by Experts

The correct Answer is:
`(2, (23)/(3))`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    MOTION|Exercise Exercise - 3 (Subjective | JEE Advanced) Matrix Match Type|1 Videos

  • CIRCLE

    MOTION|Exercise Exerise - 4 | Level - I (Previous Year|JEE Main|10 Videos

  • CIRCLE

    MOTION|Exercise Exercise -2 (Level - II) Multiple correct | JEE Advanced|14 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

Similar Questions

Explore conceptually related problems

consider a family of circles passing through two fixed points S(3,7) and B(6,5) . If the common chords of the circle x^(2)+y^(2)-4x-6y-3=0 and the members of the family of circles pass through a fixed point (a,b), then

A family of circles passing through the points (3, 7) and (6, 5) cut the circle x^2 + y^2 - 4x-6y-3=0 . Show that the lines joining the intersection points pass through a fixed point and find the coordinates of the point.

Consider a family of circles passing through the point (3,7) and (6,5). Answer the following questions. If each circle in the family cuts the circle x^(2)+y^(2)-4x-6y-3=0 , then all the common chords pass through the fixed point which is

Consider a family of circles passing through the points (3,7) and (6,5). Answer the following questions.Number of circles which belong to the family and also touching x- axis are

Consider a family of circles passing through two fixed points A=(2,6) and B=(4,5). Also S_(1) is the circle having centre (1,2) and radius equal to 3. The angle between the pair of tangent drawn from the point (4,5) to the circle S_(1) is

Find the coordinates of the middle point of the chord which the circle x^2 + y^2 + 4x - 2y-3=0 cuts off on the line y=x+2 .

Find the equation to the circle which passes through the point (2,4) and through the points in which the circle x^(2)+y^(2)-2x-6y+6=0 is cut by the line 3x+2y-5=0

MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

    Text Solution

    |

  2. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

    Text Solution

    |

  3. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  4. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  5. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  6. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  7. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  8. The equation of the line inclined at an angle of pi/4 to the X-a xi s ...

    Text Solution

    |

  9. Consider a circles S with centre at the origin and radius 4. Four circ...

    Text Solution

    |

  10. Obtain the equations of the straight lines passing through the point A...

    Text Solution

    |

  11. A variable circle passes through the point A(a ,b) and touches the x-a...

    Text Solution

    |

  12. Consider a family of circles passing through two fixed points A (3,7) ...

    Text Solution

    |

  13. The circle C : x^(2) + y^(2) + kx + (1 + k)y – (k + 1) = 0 passes thro...

    Text Solution

    |

  14. Let A, B, C be real numbers such that (i) (sin A, cos B) lies on a ...

    Text Solution

    |

  15. A Rhombus ABCD has sides of length 10. A circle with centre ‘A’ passes...

    Text Solution

    |

  16. Circles C(1) and C(2) are externally tangent and they are both interna...

    Text Solution

    |

  17. Determine the range of values of theta in [0, 2pi] for which the point...

    Text Solution

    |

  18. If 7l^(2)-9m^(2) + 8l + 1 = 0 and we have to find equation of circle ...

    Text Solution

    |

  19. If 7l^(2)-9m^(2) + 8l + 1 = 0 and we have to find equation of circle ...

    Text Solution

    |

  20. If 7l^(2)-9m^(2) + 8l + 1 = 0 and we have to find equation of circle ...

    Text Solution

    |