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Two variable chords AB and BC of a circl...

Two variable chords AB and BC of a circle `x^(2)+y^(2)=a^(2)` are such that AB=BC=a, M and N are the mid-points of AB and BC respectively such that line joining MN intersect the circle at P and Q where P is closer to AB and O is the centre of the circle.
`angleOAB` is

A

`90^(@)`

B

`120^(@)`

C

`60^(@)`

D

`150^(@)`

Text Solution

Verified by Experts

The correct Answer is:
3

Let T be the point of intersection of tangents .
Since `/_ AOC =120^(@)`, the angle between the tangents is `60^(@)`
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