Home
Class 8
MATHS
In the above figure (not to scale), O is...


In the above figure (not to scale), O is the centre of the circle. `bar(BC)` and `bar(CD)` are equal chords. If `/_ OBC =70^(@)` , then find `/_BAD`.

A

`40^(@)`

B

`60^(@)`

C

`55^(@)`

D

`45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
a

(i) Equal chords subtend equal angles at the centre of the circle.
(ii) Using the given conditions we can prove the triangles OBC and OCD are congruent.
(iii) `/_BAD =(1)/(2) /_ BOD = /_ BOC`.
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 2|20 Videos
  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|7 Videos
  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Essay type Question|3 Videos
  • Formulae

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|7 Videos
  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 3)|7 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, O is the centre of the circle. AB and CD are equal chords. If /_AOB =100^(@) , then find /_CED .

In the figure (not to scale ), O is the centre of the circle and /_OBA=30^(@) . Find /_ ACB

In the above figure (not to scale), O is the centre of the circle. bar(AP) and bar(BP) are two chords. C is the point of intersection of bar(AP) and bar(OB) . If /_ OAC= 30^(@) and /_ PBC =80^(@) , then /_ AOB=

In the above figure, O is the centre of the circle AB,AD and CD are the chords . If /_ ADC=130^(@) then fid /_ ACB .

In the following figure, O is the centre of the circle. AB and CD are equal chords. If angle AOB=100^@ , Find the angle CED .

PEARSON IIT JEE FOUNDATION-GEOMETRY -Level 1
  1. Given below are some figures. Choose the image of the given figure wit...

    Text Solution

    |

  2. In the given figure , PQ and RS are chords of length 10 cm each inters...

    Text Solution

    |

  3. In the above figure (not to scale), O is the centre of the circle. bar...

    Text Solution

    |

  4. In the above figure (not to scale), O is the centre of the circle. bar...

    Text Solution

    |

  5. In the above figure , overline(AB)andoverline(AC) are equal chords an...

    Text Solution

    |

  6. In the above figure, O is the centre of the circle and AB=CD. If / APB...

    Text Solution

    |

  7. In the above diagram (not to scale), AB=AC=. O is the centre of the ci...

    Text Solution

    |

  8. In the figure above (not to scale), AB=CD and /A =100^(@). / C =

    Text Solution

    |

  9. In the above figure, ABCD is a cyclic quadrilateral and /BCD =2 / BAD....

    Text Solution

    |

  10. In the below figure, one part of the line of symmetrcy is given. Recon...

    Text Solution

    |

  11. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/PSMATHVI...

    Text Solution

    |

  12. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/PSMATHVI...

    Text Solution

    |

  13. In the given figure (not to scale), O is the centre of the circle. A,B...

    Text Solution

    |

  14. In the following figure ( not to scale), / ADC =60^(@), / BAD =80^(@) ...

    Text Solution

    |

  15. How many lines of symmetry does the above figure have ? <img src="ht...

    Text Solution

    |

  16. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/PSMATHVI...

    Text Solution

    |

  17. In the figure given below, bar(ED)||bar(AB) and bar(EF)||bar(BC). If /...

    Text Solution

    |

  18. The supplement of an angle and the complement of another have a sum eq...

    Text Solution

    |

  19. ABCD is a trapezium in which AB ||CD, AB =20cm, BC =10 cm, CD =10 cm a...

    Text Solution

    |

  20. P is an interior point of quadrilateral ABCD and AB =3.5cm, BC =4 cm, ...

    Text Solution

    |