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