Home
Class 9
MATHS
A Ca n dB D are chords of a circle that ...

`A Ca n dB D` are chords of a circle that bisect each other. Prove that: `A Ca n dB D` are diameters ABCD is a rectangle.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|206 Videos
  • CONGRUENT TRIANGLE

    RD SHARMA ENGLISH|Exercise All Questions|290 Videos

Similar Questions

Explore conceptually related problems

A Ca n dB D are chords of a circle that bisect each other. Prove that: (i)A Ca n dB D are diameters (ii)ABCD is a rectangle.

A C and B D are chords of a circle that bisect each other. Prove that: (i) A C and B D are diameters (ii) ABCD is a rectangle.

A Ca n dB D are chords of a circle which bisect each other. Prove that (i) A Ca n dB D are diameters (ii) A B C D is a rectangle.

AC and BD are chords of a circle which bisect each other. Prove that (i) AC and BD arediameters, (ii) ABCD is a rectangle

A C\ a n d\ B D are chords of a circle which bisect each other. Prove that (i) A C\ a n d\ B D are diameters (ii) A B C D is a rectangle

A B\ a n d\ C D are two parallel chords of a circle whose diameter is A C . Prove that A B=C D

A B\ a n d\ C D are two parallel chords of a circle whose diameter is A C . Prove that A B=C D

In Figure, A B\ a n d\ C D are two chords of a circle, intersecting each other at P such that A P=C P . Show that A B=C D .

A B and C D are two parallel chords of a circle whose diameter is A C . Prove that A B=C Ddot

PQ and RQ are chords of a circle equidistant from the centre. Prove that the diameter passing through Q bisects ∠PQR and ∠PSR

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. Bisectors of angles A, B and C of a triangle ABC intersect its circ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Two chords A B and C D of a circle are parallel and a line l is the pe...

    Text Solution

    |

  7. A circular park of radius 20m is situated in a colony. Three boys Anku...

    Text Solution

    |

  8. In an equilateral triangle, prove that the centroid and centre of the ...

    Text Solution

    |

  9. In Figure, l is a line intersecting the two concentric circles, whose ...

    Text Solution

    |

  10. In the Figure, O D is perpendicular to the chord A B of a circle whose...

    Text Solution

    |

  11. A B and C D are two chords of a circle such that A B=6c m ,C D=12c m a...

    Text Solution

    |

  12. A B and C D are two parallel chords of a circle such that A B=10c m an...

    Text Solution

    |

  13. P Q and R S are two parallel chords of a circle whose centre is O and ...

    Text Solution

    |

  14. A B and C D are two parallel chords of a circle whose diameter is A C ...

    Text Solution

    |

  15. If a diameter of a circle bisects each of the two chords of a circle, ...

    Text Solution

    |

  16. Prove that the line segment joining the mid points of two side of a...

    Text Solution

    |

  17. Prove that the angle in a segment greater than a semi-circle is les...

    Text Solution

    |

  18. Prove that the angle in a segment greater than a semi-circle is les...

    Text Solution

    |

  19. A B C D is a parallelogram. If A B is produced to E such that B E=A B ...

    Text Solution

    |

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

    Text Solution

    |