22. Exemplar example problems III

Write 'True' or 'False' and give reasons for your answer.

 

1. In given figure, $BOA$ is a diameter of a circle and the tangent at a point $P$ meets $BA$ extended at $T$. If $\angle PBO = 30^\circ$, then $\angle PTA$ is equal to $30^\circ$.

 

 

2. In given figure, $PQL$ and $PRM$ are tangents to the circle with centre $O$ at the points $Q$ and $R$, respectively and $S$ is a point on the circle such that $\angle SQL = 50^\circ$ and $\angle SRM = 60^\circ$. Then $\angle QSR$ is equal to $40^\circ$.