30. Exemplar exercise problems V

1. If two tangents inclined at an angle $60^\circ$ are drawn to a circle of radius $3 cm$, then length of each tangent is equal to

 

2. In figure, if $PQR$ is the tangent to a circle at $Q$ whose centre is $O$, $AB$ is a chord parallel to $PR$ and $\angle BQR = 70^\circ$, then $\angle AQB$ is equal to