1. Multiple choice question

1. A tangent is perpendicular to the radius at the:

 

2. How many tangents can be drawn to the circle from an exterior point?

 

3. The two tangents from an external points \(P\) to a circle with centre at \(O\) are \(PA\) and \(PB\). If \(\angle APB = 70^\circ\) then the value of \(\angle AOB\) is:

 

4.

 

In the figure, \(CP\) and \(CQ\) are tangents to the circle with the centre at \(O\). \(ARB\) is another tangent touching the circle at \(R\). If \(CP = 11\) \(cm\) and \(BC = 7\) \(cm\), then the length of \(BR\) is:

 

5.

 

In figure if \(PR\) is tangent to the circle at \(P\) and \(O\) is the centre of the circle, then \(\angle POQ\) is: