Question

Draw a circle with centre $O$ and radius $4cm$. Take point $A$ such that $d(O,A)=9cm$. Draw tangents from point $A$.

Answer 1

1. Draw a circle with centre $O$ and radius $4cm$. Take a point $A$ outside the circle such that $OA=9cm$

2. Draw the perpendicular bisector of $OA$ and mark the midpoint as $M$.

3. Taking $M$ as the centre and $OM$ as the radius, draw a circle and let it intersect the original circle at points $P$ and $Q$.

4. Join $P-A$ and $Q-A$.

$PA$ and $QA$ are the required tangents.