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In the given figure, O is the centre of ...

In the given figure, `O` is the centre of a circle and `/_ AOC = 120^(@)` . Then , `/_ BDC = ?`

A

`60^(@)`

B

`45^(@)`

C

`30^(@)`

D

`15^(@)`

Text Solution

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The correct Answer is:
C
`/_ COD = 180^(@)- /_ AOC = 180^(@)- 120^(@) = 60^(@)`
Now, arc `BC` subtends `/_ BOC` at the centre and `/_ BDC` at a point `D` of the remaining part of the circle.
`:. /_ COB = 2 /_ BDCimplies /_ BDC = (1)/(2) /_ COB = (1)/(2) xx 60^(@) = 30^(@)`
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RS AGGARWAL-CIRCLES -MULTIPLE CHOICE QUESTION(MCQ)
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  12. In the given figure, O is the centre of a circle in which /AOC =100^(@...

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

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

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  15. In the given , equilateral DeltaABC is inscribed in a circle and ABDC ...

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  16. In the given figure, sides AB and AD of quad. ABCD are produced to E a...

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  17. In the given figure, , O is the centre of a circle and / AOB = 140^(@)...

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  18. In the given figure , Ois the centre of a circle and / AOB = 130^(@). ...

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  19. In the given figure, ABCD and ABEF aretwo cyclic quadrilaterals. If / ...

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