27. Exemplar exercise problems II

1. In given figure, $AB$ is a chord of the circle and $AOC$ is its diameter such that $\angle ACB = 50^\circ$. If $AT$ is the tangent to the circle at the point $A$, then $\angle BAT$ is equal to

 

2. From a point $P$ which is at a distance of $13 \ cm$ from the centre $O$ of a circle of radius $5 \ cm$, the pair of tangents $PQ$ and $PR$ to the circle are drawn. Then the area of the quadrilateral $PQOR$ is