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

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 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

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The locus of the centre of a circle which touches externally the circl...

    Text Solution

    |

  2. If two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in ...

    Text Solution

    |

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

    Text Solution

    |

  4. The circle which can be drawn to pass through (1, 0) and (3, 0) and to...

    Text Solution

    |

  5. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

    Text Solution

    |

  6. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

    Text Solution

    |

  7. The equation of the tangent to the circle x^2+y^2=25 passing through (...

    Text Solution

    |

  8. If the area of the quadrilateral by the tangents from the origin to th...

    Text Solution

    |

  9. If the circles x^2+y^2-9=0 and x^2+y^2+2alphax+2y+1=0 touch each other...

    Text Solution

    |

  10. Point M moved on the circle (x - 4)^2 + (y - 8)^2 = 20 Then it broke a...

    Text Solution

    |

  11. The points on the line x=2 from which the tangents drawn to the circl...

    Text Solution

    |

  12. Co-ordinates of the centre of a circle, whose radius is 2 unit and whi...

    Text Solution

    |

  13. Three sides of a triangle have the equation Li = y - mi x = 0 , I = 1,...

    Text Solution

    |

  14. If the equation x^2+y^2+2h x y+2gx+2fy+c=0 represents a circle, then t...

    Text Solution

    |

  15. Consider two circles x^2+y^2-4x-6y-8=0 and x^2+y^2-2x-3=0 Statement 1...

    Text Solution

    |

  16. Statement-1: The point (sin alpha, cos alpha) does not lie outside the...

    Text Solution

    |

  17. The equation of the circle which touches the axes of coordinates and ...

    Text Solution

    |

  18. The equations of tangents to the circle x^2+y^2-6x-6y+9=0 drawn from t...

    Text Solution

    |

  19. Statement 1 : Two orthogonal circles intersect to generate a common ...

    Text Solution

    |

  20. Two circles C1a n dC2 both pass through the points A(1,2)a n dE(2,1) a...

    Text Solution

    |