Home
Class 10
MATHS
Find the locus of the centres of circ...

Find the locus of the centres of circles which touch a given line at a given point.

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise All Questions|329 Videos

  • CONSTRUCTIONS

    RD SHARMA|Exercise All Questions|21 Videos

Similar Questions

Explore conceptually related problems

What is the locus of centres of circles which touch a given line at a given point ?

Find the locus of centres of circles which touch two intersecting lines.

The locus of the centre of the circles which touches both the axes is given by

Find the locus of the centre of the circle touching the line x+2y=0 andx =2y

The locus of the centre of a circle which cuts a given circle orthogonally and also touches a given straight line is (a) circle (c) parabola (b) line (d) ellipse

The locus of the centre of a circle which touches the given circles |z -z_(1)| = |3 + 4i| and |z-z_(2)| =|1+isqrt3| is a hyperbola, then the lenth of its transvers axis is ……

The locus of the centre of the circle that touch a given circle internally is ________

RD SHARMA-CIRCLES-All Questions
  1. Two concentric circles are of radii 5 cm and 3 cm. Find the length ...

    Text Solution

    |

  2. A circle touches the sides of a quadrilateral A B C D at P ,\ Q ,\ ...

    Text Solution

    |

  3. Find the locus of the centres of circles which touch a given line a...

    Text Solution

    |

  4. Find the locus of centres of circles which touch two intersecting l...

    Text Solution

    |

  5. If P T is a tangent at T to a circle whose centre is O and O P=1...

    Text Solution

    |

  6. Find the length of a tangent drawn to a circle with radius 5 cm, fr...

    Text Solution

    |

  7. A point is 26 cm away from the centre O of a circle and the leng...

    Text Solution

    |

  8. If from any point on the common chord of two intersecting circles, ...

    Text Solution

    |

  9. If the sides of a quadrilateral touch a circle, prove that the sum ...

    Text Solution

    |

  10. If A B ,\ A C ,\ P Q are tangents in Fig. 10.51 and A B=5c m , find...

    Text Solution

    |

  11. Prove that the intercept of a tangent between two parallel tangents...

    Text Solution

    |

  12. In Fig. P Q is tangent at a point R of the circle with centre O...

    Text Solution

    |

  13. If P A and P B are tangents from an outside point P such that P A=1...

    Text Solution

    |

  14. From an external point P , tangents P A and P B drawn to a circl...

    Text Solution

    |

  15. In Fig. 10.53, A B C is a right triangle right-angled at B such ...

    Text Solution

    |

  16. From a point P , two tangents P A and P B are drawn to a circ...

    Text Solution

    |

  17. Two tangent segments P A and P B are drawn to a circle with cent...

    Text Solution

    |

  18. If A B C is isosceles with A B=A C and C(O ,\ r) is the incircl...

    Text Solution

    |

  19. In Fig. 10.54, a circle touches all the four sides of a quadrilater...

    Text Solution

    |

  20. Prove that the perpendicular at the point of contact to the tangent...

    Text Solution

    |