Home
Class 9
MATHS
In the given figure, a diameter PQ of a ...

In the given figure, a diameter PQ of a circle bisects the chord RS at the point O. If PS is parallel to RQ, prove that RS is also a diameter of the circle.

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

In the given figure,a diameter PQ of a circle bisects the chord RS at the point O.If PS is prarallel to RQ,prove that RS is also a diameter of the circle.

A diameter of a circle is a chord that………the centre.

In the adjoining figure, BD is the diameter of the circle which bisects the chord AC at point E. If AC=8cm , BE=2cm , then find the radius of the circle.

Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at the point A.

Is every diameter of a circle also a chord?

If a diameter of a circle bisects each of the two chords of a circle,prove that the chords are parallel.

If a diameter of a circle bisects each of the two chords of a circle,prove that the chords are parallel.

Prove that, if a diameter of a circle bisects two chords of the circle then those two chords are parallel to each other.

If bisectors of opposite angles of a cyclic quadrilateral ABCD intersect the circle, circumscribing it at the points P and Q, prove that PQ is a diameter of the circle.

In the given figure, O is the centre of the circle. Name a chord, which is not the diameter of the circle.

RD SHARMA-CIRCLE -All Questions
  1. In Figure, A B\ a n d\ C D are two chords of a circle, intersecting...

    Text Solution

    |

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

    Text Solution

    |

  3. In the given figure, a diameter PQ of a circle bisects the chord RS at...

    Text Solution

    |

  4. In Figure, A B=C Ddot Prove that B E=D E\ a n d\ A E=C E , where E is ...

    Text Solution

    |

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

    Text Solution

    |

  6. Prove that the circle drawn with any side of a rhombus as a diameter, ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. D is a point on the circumcircle of A B C in which A B=A C such tha...

    Text Solution

    |

  11. The bisector of /B of an isosceles triangle A B C with A B=A C mee...

    Text Solution

    |

  12. Bisectors of angles A, B and C of a triangle ABC intersect its circum...

    Text Solution

    |

  13. Prove that the mid-point of the hypotenuse of a right triangle is eq...

    Text Solution

    |

  14. A B is a diameter of a circle with centre O and radius O D is perp...

    Text Solution

    |

  15. In Figure, P , is any point on the chord B C of a circle such that A B...

    Text Solution

    |

  16. In Fig. 10.32, AB is a diameter of the circle, CD is a chord equal ...

    Text Solution

    |

  17. In Figure, O is the centre of the circle. If /A P B=50^0, find /A O B\...

    Text Solution

    |

  18. In Figure, it is given that O is the centre of the circle and /A...

    Text Solution

    |

  19. In Figure, O is the centre of the circle. Find /B A C

    Text Solution

    |

  20. If O is the center of the circle, find the value of x in each of t...

    Text Solution

    |