# In the given figure, from point P two tangents PA and PB are drawn to

| In the given figure, from point P two tangents PA and PB are drawn to a circle with centre O and radius 5 cm. From point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord AB is 5 cm, then what is the value (in degrees) of ∠COD?

A. 90

B. 120

C. 150

D. 135

### Right Answer is: B

#### SOLUTION

Joining OA and OB, we see that triangle OAB is an equilateral triangle because OA = OB = AB = 5cm. And all the angles are 60.

Now PA and PB are perpendicular to OA and OB.

Hence angle PAB and angle PBA = 30º each.

Angle APB = 180 – 30 – 30 = 120º

Since OC and OD are parallel to PA and PB.

Angle COD = angle APB = 120º

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In the given figure, from point P two tangents PA and PB are drawn to