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In the diagram , O is the centre of the ...

In the diagram , O is the centre of the circle and `angle OPA=30^@`, Find `angle ACB and angle ADB` respectively.

A

`120^@,60^@`

B

`60^@,120^@`

C

`75^@,105^@`

D

`35^@, 145^@`

Text Solution

Verified by Experts

The correct Answer is:
B
(i) Tangents drawn form an external point to the same circle are equal, i.e, `PA=PB`.
(ii) `angle APO=angle OPB and angle AOB +angle APB=180^@`
(iii) `angle ACB=(1)/(2)angle AOB`.
(iv) ACBD is a cyclic quadrilateral.
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