Home
Class 10
MATHS
In Fig. 10.72, P A and P B are tan...

In Fig. 10.72, `P A` and `P B` are tangents to the circle drawn from an external point `P` . `C D` is a third tangent touching the circle at `Q` . If `P B=10 c m` and `C Q=2c m` , what is the length `P C` ? (FIGURE)

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

In the given figure PA and PB are tangents to the circle drawn from an external point P. CD is a third tangent touching the circle at Q. If PB=10cm and CQ=2cm. What is the length of PC?

In Fig. 10.60, P A and P B are tangents from an external point P to a circle with centre O . L N touches the circle at M . Prove that P L+L M=P N+M N . (FIGURE)

PA and PB are the two tangents drawn on a circle from and external point P. The centre of the circle is O and the tangents touches the circles at points A and B. Then quadrilateral OAPB is-

In the given figure,two tangents PQ and PR are drawn to a circle with centre C from an external point P ,Prove that /_QPR=2/_OQR

A tangent is drawn from an external point O to a circle of radius 3 units at P such that OP = 4 units. If C is the centre of the circle, then the sine of the angle COP is

Two circles touch internally at P.How many tangents can be drawn to the circles from an external point? What is the relation between the tangents?

A point P is 13 cm from the centre of the circle. The two tangent PQ and PR are drawn from the point P, The length of the tangent drawn from P to the circle is 12 cm. Find the radius of the circle.

In the figure, sides of triangle ABC are tangents to the circle touching the circle at points P, Q abd R as shown. If AQ=3 cm, BR=7 cm and PC= 4 c m, then perimeter of triangle ABC is

RD SHARMA-CIRCLES-All Questions
  1. The lengths of three consecutive sides of a quadrilateral circumscr...

    Text Solution

    |

  2. In Fig. 10.67, O Q : P Q=3:4 and perimeter of P O Q=60 c m . De...

    Text Solution

    |

  3. In Fig. 10.72, P A and P B are tangents to the circle drawn from...

    Text Solution

    |

  4. What is the distance between two parallel tangents of a circle of r...

    Text Solution

    |

  5. The length of a tangent from a point A at distance 5 cm from the ce...

    Text Solution

    |

  6. Two tangents T P and T Q are drawn from an external point T to a...

    Text Solution

    |

  7. What is the distance between two parallel tangents to a circle of r...

    Text Solution

    |

  8. In Q. No. 1, if P B=10 c m , what is the perimeter of P C D ?

    Text Solution

    |

  9. In Fig. 10.74, C P and C Q are tangents to a circle with centre ...

    Text Solution

    |

  10. In Fig. 10.75, A B C is circumscribing a circle. Find the lengt...

    Text Solution

    |

  11. In Fig. 10.76, C P and C Q are tangents from an external point C...

    Text Solution

    |

  12. Two concentric circles are of radii 5 cm and 3 cm. Find the length ...

    Text Solution

    |

  13. In Fig. 10.77, P A and P B are tangents to the circle with centr...

    Text Solution

    |

  14. A tangent P Q at a point P of a circle of radius 5cm meets a line t...

    Text Solution

    |

  15. From a point Q , the length of the tangent to a circle is 24cm a...

    Text Solution

    |

  16. The length of the tangent from a point A at a circle, of radius ...

    Text Solution

    |

  17. If tangents P A and P B from a point P to a circle with centr...

    Text Solution

    |

  18. In figure, sides Q P and R Q of P Q R are produced to point S and T re...

    Text Solution

    |

  19. P Q is a tangent to a circle with centre O at the point P . If ...

    Text Solution

    |

  20. Two equal circles touch each other externally at C and A B is a com...

    Text Solution

    |