Home
Class 10
MATHS
In the given figure two circles touch ea...

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

Text Solution

Verified by Experts

The correct Answer is:
`therefore` `anglePRQ+anglePSQ=180^@`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    TARGET PUBLICATION|Exercise Activities for Practice|4 Videos
  • CIRCLE

    TARGET PUBLICATION|Exercise Multiple Choice Question|25 Videos
  • CIRCLE

    TARGET PUBLICATION|Exercise Practice Set 3.5|5 Videos
  • CHALLENGING QUESTIONS

    TARGET PUBLICATION|Exercise Chapter 6: Statistics|4 Videos
  • CO-ORDINATE GEOMETRY

    TARGET PUBLICATION|Exercise CHAPTER ASSESSMENT|19 Videos

Similar Questions

Explore conceptually related problems

The two circles touch each other if

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 )

In the given figure, two circles touch each other internally at point P., where Q is the centre of larger circle. If RS = 17 cm, TU = 9 cm and TV_|_ RP , then find the area of shaded region.

Statement 1 : The number of common tangents to the circles x^(2) +y^(2) -x =0 and x^(2) +y^(2) +x =0 is 3. Statement 2 : If two circles touch each other externally then it has two direct common tangents and one indirect common tangent.

In figure, two circles intersect each other at points S and R. Their common tangent PQ touches the circle at points P,Q. Prove that, /_PRQ+/_PSQ=180^(@) .

Statement 1 : The number of common tangents to the circles x^(2) + y^(2) =4 and x^(2) + y^(2) -6x - 6y = 24 is 3. Statement 2 : If two circles touch each other externally thenit has two direct common tangents and one indirect common tangent.

In the figure, the circles with centeres A and B touch each other at E. Line l is a common tangent which touches the circles at C and D respectively. Find the length of seg CD, if the radii of the circle are 4 cm, 6 cm.

TARGET PUBLICATION-CIRCLE-Problem Set-3
  1. /ACB is inscribed in arc ACB of a circle with centre O . If /ACB= 65^...

    Text Solution

    |

  2. Chords AB and CD of a circle interset inside the circle at point E. ...

    Text Solution

    |

  3. In a cyclic square ABCD, twice the measure of /A is thrice the measu...

    Text Solution

    |

  4. Points A,B,C are on a circle, such that m( arc AB ) = m ( arc BC ) =12...

    Text Solution

    |

  5. Seg XZ is a diameter of a circle. Point Y lies in its interor. How man...

    Text Solution

    |

  6. Line l touches a circle with centre O at point P. If radius of the cir...

    Text Solution

    |

  7. In the figure, M is the centre of the circle and seg KL is a tangent ...

    Text Solution

    |

  8. In the adjoining figure, O is the centre of the circle. Seg AB, seg AC...

    Text Solution

    |

  9. In the figure, square ABCD is a parallalogram. It circumscribes the ci...

    Text Solution

    |

  10. In the figure, circle with centre M touches the circle with centre N a...

    Text Solution

    |

  11. Two circles intersect each other at the points P and Q. Two straight l...

    Text Solution

    |

  12. In the figure, line l touches the circle with centre O at point P. Q i...

    Text Solution

    |

  13. Prove the any three points on a circle cannot be collinear .

    Text Solution

    |

  14. In the figure, (1) m (arc CE ) = 54^(@), m (arc BD ) 23^(@), find ...

    Text Solution

    |

  15. In the adjoining figure ,chord EF || chord GH. Prove that, chord EGcon...

    Text Solution

    |

  16. In the adjoining figure , circles with centres C and D touch internall...

    Text Solution

    |

  17. In the adjoining figure, seg AB is a diameter of a circle with centre ...

    Text Solution

    |

  18. In the figure, seg MN is a chord of a circle with centre O. MN = 15, L...

    Text Solution

    |

  19. In the given figure two circles touch each other at the point C. Prove...

    Text Solution

    |

  20. Two circles intersect each other at the points P and Q. Two straight l...

    Text Solution

    |