Home
Class 9
MATHS
P Qa n dR S are two parallel chords of a...

`P Qa n dR S` are two parallel chords of a circle and lines `R Pa n dS Q` intersect each other at `O` as shown in Figure. Prove that `O P=O Qdot`

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

PQ and RS are two parallel chords of a circle and lines RP and SQ intersect each other at O as shown in Figure.Prove that OP=OQ

In the figure, two chords AB and CD intersect each other at the point P. Prove that : AP. PB = CP. DP

In the figure,two equal chords AB and CD of a circle with centre O ,intersect each other at E , Prove that AD=CB

In Figure,AB and CD are two chords of a circle,intersecting each other at P such that AP=CP. show that AB=CD

In the figure, two chords AB and CD intersect each other at the point P. Prove that : DeltaAPC ~ DeltaDPB

l and m are two parallel lines intersected by another pair of parallel lines p and q as shown in figure.Show that o+ABC~=o+CDA Figure

P Q\ a n d\ R S are two parallel chords of a circle whose centre is O and radius is 10\ c mdot If P Q=16\ c m\ a n d\ R S=12\ c m , find the distance between P Q\ a n d\ R S , if they lie: on the same side of centre O

P Q\ a n d\ R S are two parallel chords of a circle whose centre is O and radius is 10\ c mdot If P Q=16\ c m\ a n d\ R S=12\ c m , find the distance between P Q\ a n d\ R S , if they lie: on opposite side of the centre O

Tangents PA and PB are drawn to a circle with point P outside the circle,line joining P and centre intersect chord AB at M then,Prove that /_OPA=/_OAM

RD SHARMA-CIRCLE -All Questions
  1. Find the length of the chord which is at 12 cm distance from center an...

    Text Solution

    |

  2. In an isosceles triangle A B C with A B=A C , a circle passing through...

    Text Solution

    |

  3. P Qa n dR S are two parallel chords of a circle and lines R Pa n dS Q ...

    Text Solution

    |

  4. A B C is an isosceles triangle in which A B=A Cdot If Da n dE are the ...

    Text Solution

    |

  5. Da n dE are points on equal sides A Ba n dA C of an isosceles triangle...

    Text Solution

    |

  6. D\ a n d\ E are, respectively, the points on equal sides A B\ a n d...

    Text Solution

    |

  7. A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in...

    Text Solution

    |

  8. In Figure, P Q R S is a cyclic quadrilateral. Find the measure of each...

    Text Solution

    |

  9. Prove that any cyclic parallelogram is a rectangle.

    Text Solution

    |

  10. A Ca n dB D are chords of a circle which bisect each other. Prove that...

    Text Solution

    |

  11. A B C D is a parallelogram. The circle through A ,B and C intersects C...

    Text Solution

    |

  12. Fill in the blanks: All point lying inside/outside a circle are ca...

    Text Solution

    |

  13. Write the truth value (T/F) of the following with suitable reasons: ...

    Text Solution

    |

  14. The radius of a circle is 13 cm and the length of one of its chords ...

    Text Solution

    |

  15. Find the length of a chord which is at a distance of 5 cm from the c...

    Text Solution

    |

  16. In Figure, O is the centre of the circle of radius 5\ c mdotO P\ |A ...

    Text Solution

    |

  17. In Figure, O is the centre of the circle of radius 5\ c mdotO P|A B ...

    Text Solution

    |

  18. P Q\ a n d\ R S are two parallel chords of a circle whose centre is ...

    Text Solution

    |

  19. P Q\ a n d\ R S are two parallel chords of a circle whose centre is...

    Text Solution

    |

  20. A B\ a n d\ C D are two parallel chords of a circle such that A B=10...

    Text Solution

    |