Home
Class 9
MATHS
Let C be the mid-point of an arc A B o...

Let `C` be the mid-point of an arc `A B` of a circle such that `m\ hat A B=183^0dot` If the region bounded by the arc `A C B` and line segment `A B` is denoted by `S ,` then the centre `O` of the circle lies (a) in the interior of `S` (b) in the exterior of `S` on the segment `A B` (d) on `A B` and bisects `A B`

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

Two chords A B and A C of a circle are equal. Prove that the centre of the circle lies on the angle bisector of /_B A Cdot

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

In Figure, O is the centre of circle of radius 28 cm. Find the area of minor segment A S B .

Draw a circle with centre at point O and radius 5 cm. Draw its chord A B , draw the perpendicular bisector of line segment A B . Does it pass through the centre of the circle?

In Figure, O is the centre of the circle and the measure of arc A B C is 100^0dot Determine /_A D C\ a n d\ /_A B C

If A\ a n d\ B are two points on a circle such that m\ ( hat A B)=260^0dot A possible value for the angle subtended by arc B A at a point on the circle is (a) 100^0 (b) 75^0 (c) 50^0 (d) 25^0

From the figure, identify :(a) the centre of circle (b) three radii(b) a diameter (d) a chord(e) two points in the interior (f) a point in the exterior

A D and B C are equal perpendiculars to a line segment A B . Show that C D bisects A Bdot

In Figure, two tangents A Ba n dA C are drawn to a circle with centre O such that /_B A C=120^0dot Prove that O A=2A B

In Figure, A B=C B\ a n d\ O is the centre of the circle. Prove that B O bisects /_A B C .

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. A B C is a triangle with B as right angle, A C=5\ c m\ a n d\ A B=...

    Text Solution

    |

  2. If A B ,\ B C\ a n d\ C D are equal chords of a circle with O as cen...

    Text Solution

    |

  3. Let C be the mid-point of an arc A B of a circle such that m\ hat...

    Text Solution

    |

  4. In a circle, the major arc is 3 times the minor arc. The correspondi...

    Text Solution

    |

  5. If A\ a n d\ B are two points on a circle such that m\ ( hat A B)=26...

    Text Solution

    |

  6. An equilateral triangle A B C is inscribed in a circle with centre...

    Text Solution

    |

  7. In a circle with centre O ,\ A B\ a n d\ C D are two diameters perpend...

    Text Solution

    |

  8. Two equal circles of radius r intersect such that each passes throu...

    Text Solution

    |

  9. If A B is a chord of a circle, P\ a n d\ Q are the two points on t...

    Text Solution

    |

  10. If two diameters of a circle intersect each other at right angles, t...

    Text Solution

    |

  11. If A B C is an arc of a circle and /A B C=135^0, then the ratio of...

    Text Solution

    |

  12. The chord of a circle is equal to its radius. The angle subtended by...

    Text Solution

    |

  13. P Q R S is a cyclic quadrilateral such that P R is a diameter of the...

    Text Solution

    |

  14. If A ,\ B ,\ C are three points on a circle with centre O such that ...

    Text Solution

    |

  15. A B\ a n d\ C D are two parallel chords of a circle with centre O su...

    Text Solution

    |

  16. In a circle of  radious 17 cm, two parallel chords are drawn on op...

    Text Solution

    |

  17. The greatest chord of a circle is called its (a) radius         (b) ...

    Text Solution

    |

  18. Angle formed in minor arc of a circle is

    Text Solution

    |

  19. Number of circles that can be drawn through three non-collinear poin...

    Text Solution

    |

  20. In Figure, O is the centre of the circle such that /A O C\ =130^0,\ ...

    Text Solution

    |