Home
Class 9
MATHS
Two congruent circles intersect each ot...

Two congruent circles intersect each other at points A and B. Through A any linesegment PAQ is drawn so that P, Q lie on the two circles. Prove that `B P\ =\ B Q`.

Text Solution

Verified by Experts

The correct Answer is:
NA
NA
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 10b|19 Videos

  • CIRCLE

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 10c|20 Videos

  • CIRCLE

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Questions )|5 Videos

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Question)|5 Videos

  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|8 Videos

Similar Questions

Explore conceptually related problems

In the figure, two circles intersect each other at points A and B. AP and AQ are the diameters of these circels. Prove that PBQ is a straight line.

In the figure, two circles intersect each other at points A and B. AP and AQ are the diameters of these circels. Prove that PBQ is a straight line.

Two circles intersect each other at point A and B. Their common tangent touches the circles at points P and Q as shown in the figure. Show that the angles PAQ and PBQ are supplementary.

Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Fig. 10.40). Prove that /_A C P\ =/_Q C D .

Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Figure). Prove that /_A C P=/_Q C D .

The congruent circles with centres Oand O' intersect at two points A and B. Then, angleAOB=angleAO'B .

Two circles intersect each other at points A and B. A straight line PAQ cuts the circles at P and Q. If the tangents at P and Q intersect at point T, show that the points P, B, Q and T are concylic.

Two circles with centres A and B intersect each other at points P and Q. Prove that the centre-line AB bisects the common chord PQ perpendicularly.

Two circles with centres O and O'are drawn to intersect each other at points A and B. Centre O of one circle lies on the circumference of the other circle and CD is drawn tangent to the circle with centre O' at A. prove that OA bisects angle BAC.

If a number of circles pass through the end points P and Q of a line segment PQ, then Prove that their centres lie on the perpendicular bisector of PQ.

NAGEEN PRAKASHAN ENGLISH-CIRCLE -Exercise 10a
  1. In the adjoining figure O is the centre of circle and c is the mid poi...

    Text Solution

    |

  2. (i) Find the length of a chord which is at a distance of 12 cm from th...

    Text Solution

    |

  3. A chord of length 24 cm is at a distance of 5 cm form the centre of th...

    Text Solution

    |

  4. In the adjoining figure, AP=8cm, BP=2cm and angle CPA=90^@. Find the l...

    Text Solution

    |

  5. The height of circular arc ACB is 0.6 m. if the radius of circle is 3m...

    Text Solution

    |

  6. In the adjoining figure, 'O' is the centre of the circle. OL and OM ar...

    Text Solution

    |

  7. In the adjoining figure,O is the centre of two concentric circles. The...

    Text Solution

    |

  8. The length of common chord of two intersecting circles is 30 cm. If th...

    Text Solution

    |

  9. In the adjoining figure, chord AB= chord PQ. If angleOBA=55^@, then fi...

    Text Solution

    |

  10. Show that if two chords of a circle bisect one another they must be ...

    Text Solution

    |

  11. Two congruent circles intersect each other at points A and B. Through...

    Text Solution

    |

  12. If the two equal chords of a circle intersect : (i) inside (ii) on...

    Text Solution

    |

  13. prove that the line joining the mid-point of two equal chords of a ...

    Text Solution

    |

  14. If two circles intersect in two points, prove that the line through th...

    Text Solution

    |

  15. Two parallel chords of a circle , 12 cm and 16 cm long are on the sam...

    Text Solution

    |

  16. The diameter of a circle is 20 cm. There are two parallel chords of le...

    Text Solution

    |

  17. In the adjoining figure ,AB and CD are two parallel chords of a circle...

    Text Solution

    |

  18. The length of two parallel chords of a circle are 6 cm and 8 cm . The ...

    Text Solution

    |

  19. What happen to area of circle, if its radius is doubled?

    Text Solution

    |

  20. Name the shape shown in centre of our national flag. In how many parts...

    Text Solution

    |