Home
Class 8
MATHS
In the above figure , overline(AB)andov...


In the above figure , `overline(AB)andoverline(AC)` are equal chords and `overline(OD)` is perpendicular to `overline(AC)` . If `angleCOD=60^(@)`, then the angle between the chords is ______ .

A

`30^(@)`

B

`60^(@)`

C

`90^(@)`

D

Cannot be determined

Text Solution

Verified by Experts

The correct Answer is:
B
(i) Triangles OAC and OAB are congruent. Triangle OAD and OCD are congruent.
(ii) Join OA and OB.
(iii) `/_ AOC = 2 /_ COD ` and `/_ BOA = /_ COA`.
(iv) Use the above two results and find angles BAO and CAO.
(v) Angle between the chords `= /_ BAO + /_ CAO`.
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

If |overline(a)|=5, |overline(b)|=3, |overline(c)|=4 and |overline(a)| is perpendicular to |overline(b)| and |overline(c)| such that the angle between |overline(b)| and |overline(c)| is (5pi)/(6) , then [[overline(a),overline(b), overline(c)]]=

In triangle ABC, if 2overline(AC)=3overline(CB) , then 2overline(OA)+3overline(OB)=

In the given figure overline(DE)||overline(AC) . Find the value of x. (a) 1 (b) 2 (c) 3 (d) 4

PEARSON IIT JEE FOUNDATION-GEOMETRY -Level 1
  1. In the above figure (not to scale), O is the centre of the circle. bar...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The angles of a triangle are in the ratio 2:3:4 . Find them The foll...

    Text Solution

    |

  20. Prove that each of the following diagonals of a parallelogram divides ...

    Text Solution

    |