Home
Class 11
MATHS
Two circles each of radius 5 units touc...

Two circles each of radius 5 units touch each at (1, 2) If the equation of their common tangent is 4x + 3y = 10, find the equations of the two circles.

Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos
  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

A circle touches y-axis at (0, 5) and whose centre lies on the line 2x + y = 13, find the equation of the circle.

Two each circles of radius 13 cm intersect each other and the length of their common chord is 10 cm. find the distance between the centre of the circle.

Two cirles of radii 2 and 10 units respectively pass through (2, 4) and touch both the x and y axes. Find the equations of the two circles. Also find the other common point of intersection.

If two circles intersect each other, then the number of their common tangents will be

Two equal circles of radius 10 cm intersect each other and the length of their common chord is 12 cm . Find the distance between the centre of the circle .

If two circle touch externally, then the number of their common tangents will be

The equation of radical axis of two circles is x + y = 1 . One of the circles has the ends ofa diameter at the points (1, -3) and (4, 1) and the other passes through the point (1, 2).Find the equations of these circles.

Find the equation of the common tangent to the circle x^(2)+y^(2)=8 and the parabola y^(2)=16x .

If two circle do not intersect or touch each other, then the maximum number of common tangents can be drawn is

PATHFINDER-CIRCLE-QUESTION BANK
  1. Obtain the locus of the point of intersection of the tangent to the ci...

    Text Solution

    |

  2. A and B are two points in xy-plane, which are 2sqrt2 units distance ap...

    Text Solution

    |

  3. Two circles each of radius 5 units touch each at (1, 2) If the equati...

    Text Solution

    |

  4. One of the diameters of the circle circumscribing the rectangle ABCD i...

    Text Solution

    |

  5. Find the locus of the mid points of the chords of the circle x^2 + y^2...

    Text Solution

    |

  6. The centre of the circle S = 0 lies on the line 2x -2y + 9 = 0 and S =...

    Text Solution

    |

  7. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

    Text Solution

    |

  8. The chord of contact of tangents from a point P to a circle passes thr...

    Text Solution

    |

  9. If the chord of contact of tangents from a point (x1,y1) to the circle...

    Text Solution

    |

  10. The number of common tangents that can be drawn to the circles x^2+y^2...

    Text Solution

    |

  11. The circles whose equations are x^2+y^2+c^2=2ax and x^2+y^2+c^2-2by=0 ...

    Text Solution

    |

  12. The pole of a straight line with respect to the circle x^2+y^2=a^2 lie...

    Text Solution

    |

  13. If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within ...

    Text Solution

    |

  14. The circle x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of :

    Text Solution

    |

  15. The locus of the centre of the circle which cuts orthogonally the circ...

    Text Solution

    |

  16. If one of the diameters of the circle x^2+y^2-2x-6y+6=0 is a chord to ...

    Text Solution

    |

  17. The equation of the circle passing through (2, 0) & (0, 4) and having ...

    Text Solution

    |

  18. If the lines 2x-3y-5=0 and 3x-4y=7 are diameters of a circle of area 1...

    Text Solution

    |

  19. If P(2,8) is an interior point of the circle x^2+y^2-2x+4y-p=0, which ...

    Text Solution

    |

  20. A,B,C,D are the points of intersection with the coordinate axes of the...

    Text Solution

    |