Home
Class 9
MATHS
Two equal circles intersect in P and Q ....

Two equal circles intersect in `P` and `Q` . A straight line through `P` meets the circles in `A` and `B` . Prove that `Q A=Q Bdot`

Text Solution

Verified by Experts

PQ is common chord of 2 congregant circle
`/_PCQ=/_PDQ`
`/_PAQ=/_PBQ`
`In/_QAB`
`/_PAQ=/_PBQ`
`QA=QB`.
Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos

  • CONGRUENT TRIANGLE

    RD SHARMA|Exercise All Questions|291 Videos

Similar Questions

Explore conceptually related problems

Two circles intersect each other at the points P and Q. Two straight lines through P and Q intersect one circle at the points A and C and the other circle at B and D. Prove the AC|| BD

Two circles of equal radii cut each other at P and Q, so that the centre of one lies on the other.A straight line through P cuts the circle again at A and B.Prove that Delta QAB is equilateral triangle.

In the figure, the circles with centers P and Q touch each other at R.A line passing through R meets the circles at A and B respectively. Prove that triangle APR ~ triangle RQB

In the figure, the circles with centers P and Q touch each other at R.A line passing through R meets the circles at A and B respectively. Prove that seg AP || seg BQ

Two circles intersect each other at point P and Q. Secants drawn through p and Q intersect the circles at points A,B and D,C Prove that : /_ ADC + /_ BCD = 180^(@)

In the figure, two circles intersect each other in points P and Q. If tangent from point R touch the circles at S and T, then prove that RS=RT.

Two circles intersect each other at P and Q. PA and PB are two diameters. Then angleAQB is

In the figure, the circles with centers P and Q touch each other at R.A line passing through R meets the circles at A and B respectively. Find /_RQB if /_PAR=35^(@)

In figure, two circles intersect at points M and N. Secants drawn through M and N intersect the circles at points R,S and P,Q respectively. Prove that : seg SQ || seg RP.

In the figure, two circles intersect at points M and N. Secants drawn through M and N intersect the circles at points R,S and P,Q respectively. Prove that : seg SQ || seg RP.

RD SHARMA-CIRCLE -All Questions
  1. Show that if two chords of a circle bisect one another they must be ...

    Text Solution

    |

  2. In Figure, equal chords A B and C D of a circle with centre O , cut at...

    Text Solution

    |

  3. Two equal circles intersect in P and Q . A straight line through P mee...

    Text Solution

    |

  4. Prove that all the chords of a circle through a given point within it,...

    Text Solution

    |

  5. Prove that the diameter is the greatest chord in a circle.

    Text Solution

    |

  6. Bisector A D of /B A C of A B C passes through the centre O of the ci...

    Text Solution

    |

  7. If two sides of a cyclic quadrilateral are parallel, prove that the ...

    Text Solution

    |

  8. The quadrilateral formed by angle bisectors of a cyclic quadrilateral ...

    Text Solution

    |

  9. If two non-parallel sides of a trapezium are equal, it is cyclic. OR A...

    Text Solution

    |

  10. If two opposite sides of a cyclic quadrilateral are equal, then the ...

    Text Solution

    |

  11. The sum of either pair of opposite angles of a cyclic quadrilateral is...

    Text Solution

    |

  12. If the chord of a circle is equal to the radius of the circle, then th...

    Text Solution

    |

  13. If one side of a cyclic quadrilateral is produced, then the exterior ...

    Text Solution

    |

  14. If the sum of any pair of opposite angles of a quadrilateral is 180^@;...

    Text Solution

    |

  15. The sum of the angles in the four segments exterior to a cyclic qua...

    Text Solution

    |

  16. If the bisectors of the opposite angles /Pa n d/R of a cyclic quadrila...

    Text Solution

    |

  17. If O is the circumcentre of a A B C and O D|B C , prove that /B O D=/...

    Text Solution

    |

  18. Two diameters of a circle intersect each other at right angles. Prove ...

    Text Solution

    |

  19. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

    Text Solution

    |

  20. In a circle with centre O , chords A Ba n dC D intersect inside the ci...

    Text Solution

    |