Home
Class 9
MATHS
A B\ a n d\ C D are two chords of a ci...

`A B\ a n d\ C D` are two chords of a circle such that `A B=6\ c m ,\ C D=12\ c m\ a n d\ A B || C D`. If the distance between `A B\ a n d\ C D` is `3\ c m ,` find the radius of the circle.

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 B and C D are two chords of a circle such that A B=6c m ,C D=12c m and A B || C Ddot If the distance between A B and C D is 3c m , find the radius of the circle.

A B\ a n d\ C D are two chords of a circle such that AB=6\ c m ,\ C D=12\ c m If the distance between A B and C D is 3 c m find the radius of the circle.

A B and C D are two parallel chords of a circle such that A B=10c m and C D=24c mdot If the chords are on the opposite sides of the centre and the distance between them is 17c m , find the radius of the circle.

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

A B\ a n d\ C D are two parallel chords of a circle with centre O such that A B=6\ c m\ a n d\ C D=12\ c mdot The chords are on the same side of the centre and the distance between them is 3 cm. The radius of the circle is (a) 6\ c m (b) 5\ sqrt(2)\ c m (c) 7\ c m (d) 3\ sqrt(5)\ c m

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 .

In Figure, A B C D is a trapezium in which A B=7c m ,\ A D=B C=5c m ,\ D C=X\ c m , and distance between A B\ a n d\ D C is 4c m . Find the value of X and area of trapezium A B C D

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

Draw a parallelogram A B C D in which A B=8c m ,\ A D=5c m\ a n d\ /_A=60^0dot

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. P Q and R S are two parallel chords of a circle whose centre is O and ...

    Text Solution

    |

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

    Text Solution

    |

  3. A B\ a n d\ C D are two chords of a circle such that A B=6\ c m ,\ C...

    Text Solution

    |

  4. In the figure, O D is perpendicular to the chord A B of a circle...

    Text Solution

    |

  5. In Figure, l is a line intersecting the two concentric circles, who...

    Text Solution

    |

  6. In a circle of radius 5\ c m ,\ A B\ a n d\ A C are two chords suc...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Two chords A B\ a n d\ C D of a circle are parallel and a line L is ...

    Text Solution

    |

  10. If a diameter of a circle bisects each of the two chords of a circl...

    Text Solution

    |

  11. A B\ a n d\ C D are two parallel chords of a circle whose diameter ...

    Text Solution

    |

  12. Two concentric circle with centre O have A ,\ B ,\ C ,\ D as the p...

    Text Solution

    |

  13. Two circles whose centres are O and O ' intersect at Pdot Throug...

    Text Solution

    |

  14. Prove that the line joining the mid-points of two parallel chords of a...

    Text Solution

    |

  15. Two circles of radii 10\ c m\ a n d\ 8\ c m intersect and the leng...

    Text Solution

    |

  16. Two circles of radii 5\ c m\ a n d\ 3c m intersect at two points a...

    Text Solution

    |

  17. In Figure, two circles with centres A\ a n d\ B and of radii 5\ ...

    Text Solution

    |

  18. In Figure, hat A B~= hat A C and O is the centre of the circle. Prove...

    Text Solution

    |

  19. Prove that the right bisector of a chord of a circle, bisects th...

    Text Solution

    |

  20. Prove that the perpendicular bisector of a chord of a circle always...

    Text Solution

    |