2. Two marks example problems - I

1. Find the length of the tangent drawn from a point whose distance from the centre of a circle is \(5 \ cm\) and the circle's radius is \(3 \ cm\).

 

Answer:

 

The length of the tangent \(=\)  \(cm\)

 

 

2. In the below figure, \(O\) is the centre of a circle. \(PQ\) is a chord and the tangent \(PR\) at \(P\) makes an angle of \(50^\circ\) with \(PQ\). Find \(\angle POQ\).

 

 

Answer:

 

The angle \(POQ\) \(=\) \(^\circ\)

 

 

3. In the below figure, \(\Delta ABC\) is circumscribing a circle. Find the length of \(BC\).