Home
Class 9
MATHS
If Figure, A O C is a diameter of the ...

If Figure, `A O C` is a diameter of the circle and are `A X B=1/2` arc `B Y Cdot` Find `/_B O C`

Text Solution

Verified by Experts


As `arc AXB=1/2 arc BYC`
`/_AOB=1/2 /_B0C`
`/_AOB+/_BOC=180^0`
`1/2 /_B0C+/_BOC=180^0`
`/_BOC=2/3xx180^0=120^0`
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, AOB is a diameter of a circle with centre O. Find tan A tan B.

In the figure, seg AB is the diameter of the circle, /_ABC=30^(@) , Find (1) m(arc AXC) (2) m(arc BYC)

A circle intersects an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 precisely at three points A,B,C as shown in the figure.AB is a diameter of the circle and isperpendicular to the major axis of the ellipse. If the eccentricity oflipse is (4)/(5), find the length of the diameter AB in terms of a.

In Fig. 15.69, A B and C D are two diameters of a circle perpendicular to each other and O D is the diameter of the smaller circle. If O A=7\ c m , find the area of the shaded region. (FIGURE)

PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that /_POR=120o, then /_OPQ is 60o (b) 45o (c) 30o (d) 90o

In Figure, A B C D is a trapezium in which A B||C D . Prove that: a r( A O D)=a r( B O C)dot

In Figure,O and O' are centres of two circles intersecting at B and Cdot ACD is a straight line,find x

In Fig. 10.36, A,B and C are three points on a circle with centre O such that /_B O C""=" "30^o and /_A O B" "=" "60^o . If D is a point on the circle other than the arc ABC, find /_A D Cdot

In Figure, B C X Y ,\ B X C A and A B Y Cdot Prove that: a r( A B X)=a r( A C Y)

RD SHARMA-CIRCLE -All Questions
  1. In Figure, if /A O B=80^0a n d\ /A B C=30^0, then find /C A O

    Text Solution

    |

  2. If O is the circumcentre of A B C , then find the value of /O B C...

    Text Solution

    |

  3. If Figure, A O C is a diameter of the circle and are A X B=1/2 arc B...

    Text Solution

    |

  4. In Figure, A is the centre of the circle. A B C D is a parallelogram...

    Text Solution

    |

  5. In Figure, A B is a diameter of the circle such that /A=35^0a n d\ /...

    Text Solution

    |

  6. In Figure, P\ a n d\ Q are centres of two circles intersecting at B\...

    Text Solution

    |

  7. In Figure, A B C D is quadrilateral inscribed in a circle with centr...

    Text Solution

    |

  8. If the length of a chord of a circle is 16 cm and is at a distance o...

    Text Solution

    |

  9. The radius of a circle is 6 cm. The perpendicular distance from the ...

    Text Solution

    |

  10. If O is the centre of a circle with radius r and AB is a chord of the ...

    Text Solution

    |

  11. A B C D is a cyclic quadrilateral such that /A D B=30^0a n d\ /D C A...

    Text Solution

    |

  12. A chord of length 14cm is at a distance of 6 cm from the center of the...

    Text Solution

    |

  13. One chord of a circle is known to be 10 cm. The radius of this circl...

    Text Solution

    |

  14. A B C is a triangle with B as right angle, A C=5\ c m\ a n d\ A B=...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. In a circle with centre O , AB and C D are two diameters perpendicular...

    Text Solution

    |

  20. Two equal circles of radius r intersect such that each passes throug...

    Text Solution

    |