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

In the given figure, , O is the centre of a circle and `/_ AOB = 140^(@)`. Then , `/_ ACB = ?`

A

`70^(@)`

B

`80^(@)`

C

`110^(@)`

D

`40^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
`/_ BOC= 180^(@) - 140^(@) = 40^(@)`
`OB = OC implies /_ OBC = /_ OCB = x^(@) ` ( say)
`:. 40 + x + x = 180 implies 2x = 140 implies x= 70`
`:. /_ OBC = 70^(@)`
`/_ OBC + /_ ADC = 180^(@) implies /_ ADC = 180^(@) -70^(@) = 110^(@)`.
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RS AGGARWAL-CIRCLES -MULTIPLE CHOICE QUESTION(MCQ)
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  14. In the given figure, , O is the centre of a circle and / AOB = 140^(@)...

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

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

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  17. In the given figure, ABCD is a cyclic quadrilateral in which DC is pro...

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  18. Two chords AB and CD of a circle intersect each other at a point E out...

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  19. In the given figure , A and B are the centres of two circles having ra...

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