Home
Class 10
MATHS
In Fig. 10.21, two circles touch each...

In Fig. 10.21, two circles touch each other at the point `C` . Prove that the common tangent to the circles at `C` , bisects the common tangent at `P` and `Q` . (FIGURE)

Text Solution

Verified by Experts

The correct Answer is:
`TP = TQ`
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    EDUCART PUBLICATION|Exercise SHORT ANSWER (SA-II) Type Questions|18 Videos
  • CIRCLES

    EDUCART PUBLICATION|Exercise LONG ANSWER Type Questions|13 Videos
  • CIRCLES

    EDUCART PUBLICATION|Exercise OBJECTIVE Type Questions (Very Short Questions)|10 Videos
  • CBSE TERM-1 SAMPLE PAPER 2

    EDUCART PUBLICATION|Exercise Section -C|7 Videos
  • CONSTRUCTIONS

    EDUCART PUBLICATION|Exercise LONG ANSWER Type Questions|6 Videos

Similar Questions

Explore conceptually related problems

Common tangent to two circles

In the given figure two circles touch each other at the point C. Prove that the common tangent at P and Q.

Common Tangents of Circles

Two circle touch each other externally at the point (0,k) and y-axis is the common tangent to these circles. Centres of these circle lie on the line

Common Tangents of Two Circles - Direct and Transverse Common Tangent

Two circles touch each other externally at a point P and a direct common tangent touches the circles at the points Q and R respectively. Then angle QPR is

Two circles touch each other externally at point P.A common tangent AB is drawn touching the circles at A and B.Find /_APB .

Two circles touch each other externally at point A and PQ is a direct tangent which touch circle at P and Q respectively then anglePAQ = ?

EDUCART PUBLICATION-CIRCLES-SHORT ANSWER (SA-I) Type Questions
  1. From a point P, two tangents PT and PS are drawn to a circle with cent...

    Text Solution

    |

  2. In the given figure, a circle inscribed in a triangle ABC, touches the...

    Text Solution

    |

  3. In Fig AP and BP are tangents to a circle with centre O, such that AP ...

    Text Solution

    |

  4. Prove that the rectangle circumscribing a circle is a square

    Text Solution

    |

  5. In Fig.2, a quadrilateral ABCD is drawn to circumscribe a circle, with...

    Text Solution

    |

  6. In Figure 1, O is the centre of a circle, PQ is a chord and PT is the ...

    Text Solution

    |

  7. P Q is a tangent drawn from a point P to a circle with centre O ...

    Text Solution

    |

  8. In Fig. two tangents RQ and RP are drawn from an external point R to ...

    Text Solution

    |

  9. Prove that the tangents drawn at the end points of a chord of a circle...

    Text Solution

    |

  10. There are two concentric circles with centre O. PRT and PQS are tangen...

    Text Solution

    |

  11. A circle touches the side BC of Delta ABC at F and touches AB and AC a...

    Text Solution

    |

  12. From the external point P tangents PA and PB are drawn to a circle wit...

    Text Solution

    |

  13. If the angle between two tangents drawn from an external point P to a ...

    Text Solution

    |

  14. In the figure, angle ADC = 90^@, BC = 38" cm", CD = 28" cm" and B...

    Text Solution

    |

  15. चित्र में एक वृत्त त्रिभुज ABC की भुजा BC को प पर स्पर्श ...

    Text Solution

    |

  16. Out of the 2 concentric circle the radius of the outer circle is 5 cm ...

    Text Solution

    |

  17. In Fig. 10.21, two circles touch each other at the point C . Prove ...

    Text Solution

    |

  18. Prove that the parallelogram circumscribing a circle is a rhombus.

    Text Solution

    |

  19. In figure, common tangents AB and CD to two circles intersect at E. P...

    Text Solution

    |

  20. In Fig , AB is a chord of a circle , with centre O , such that AB = 16...

    Text Solution

    |