Home
Class 9
MATHS
In the given figure, Delta ABC and Delta...

In the given figure, `Delta ABC` and `Delta DBC` arre inscribed in a circle such that `/_ BAC = 60^(@)` and `/_ DBC = 50^(@)` . Then , `/_ BCD = ?`

A

`50^(@)`

B

`60^(@)`

C

`70^(@)`

D

`80^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
`/_ BDC = /_ BAC= 60^(@) ( /_ s` in the same segment of a circle ).
In `Delta BDC, /_ DBC +/_ BDC + /_ BCD = 180^(@)`.
`:. 50^(@) + 60^(@) + /_ BCD = 180^(@) implies /_ BCD = 70^(@)`
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|5 Videos

  • BAR GRAPH, HISTOGRAM AND FREQUENCY POLYGON

    RS AGGARWAL|Exercise EXERCISE 17B|16 Videos

  • CONGRUENCE OF TRIANGLES AND INEQUALITIES IN A TRIANGLE

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|20 Videos

Similar Questions

Explore conceptually related problems

In the given figure, Delta ABC is circumscribing a circle, then find the length of BC.

In figure,ABC is the triangle inscribed in a circle with center O.show that angle A+ angle OBC =90^(@)

In the given figure if /_DBC=70^(@) and /_BAC=40^(@) then find the value of /_BCD

In cyclic quadrilateral ABCD , Diagonals AC and BD intersect at P . If /_DBC = 70^(@) and /_BAC = 30^(@) then find /_BCD

In the given figure CDP is a straight line Delta AQD is an equilateral triangle /_BAR=90^(@),/_QAR=135^(@),/_BCD=106^(@) and /_ABC=100^(@) . Then, /_PDQ equals

If a right angled triangle ABC of maximum Delta area is inscribed in a circle of radius R , then

In this figure angle DBC = 30^(@) and angle BCD = 110^(@) . Find angle BAC

In the given figure,Delta ABC and Delta DBC are on the same base BC.If AD intersects BC at O , prove that (ar(Delta ABC))/(ar(Delta DBC))=(AO)/(DO)

RS AGGARWAL-CIRCLES -MULTIPLE CHOICE QUESTION(MCQ)
  1. In the given figure, AB is a chrod of a circle with centre O and AB is...

    Text Solution

    |

  2. In the given figure, AB is a chord of a circle with centre O and BOC i...

    Text Solution

    |

  3. In the given figure, Delta ABC and Delta DBC arre inscribed in a circ...

    Text Solution

    |

  4. In the given figure, BOC is a diameter of a circle with centre O. If /...

    Text Solution

    |

  5. In the given figure, O is the centre of a circle . If / OAC = 50^(@) t...

    Text Solution

    |

  6. In the given figure, O is the centre of a circle in which / OBA = 20^(...

    Text Solution

    |

  7. In the given figure, O is the centre of a circle. If / AOB = 100^(@) a...

    Text Solution

    |

  8. In the given figure, O is the centre of a circle . The, / OAB = ?

    Text Solution

    |

  9. In the given figure, O is the centre of a circle and / AOC = 120^(@) ....

    Text Solution

    |

  10. In the given figure, O is the centre of a circle and / OAB=50^(@). The...

    Text Solution

    |

  11. In the given figure, AB and CD are two intersecting chords of acircle...

    Text Solution

    |

  12. In the given figure, O is the centre of a circle and chords AC and BD ...

    Text Solution

    |

  13. In the given figure, O is the centre of a circle in which / OAB = 20^(...

    Text Solution

    |

  14. In the given figure, AOB is a diameter and ABCD is a cyclic quadrilate...

    Text Solution

    |

  15. In the given figure, ABCD is a cyclic quadrilateral in which AB || DC ...

    Text Solution

    |

  16. In the given figure, O is the centre of a circle and/ AOC = 130^(@) . ...

    Text Solution

    |

  17. In the given figure, AOB is a diameter of a circle and CD||AB . If / ...

    Text Solution

    |

  18. In the given figure, O is the centre of a circle in which /AOC =100^(@...

    Text Solution

    |

  19. In the given figure, O is the centre of a circle and / OAB = 50^(@). T...

    Text Solution

    |

  20. In the given figure, ABCD is a cyclic quadrialteral in which BC= CD an...

    Text Solution

    |