Question

Draw a tangent to the circle with centre $P$ and radius $3.4cm$, from a point $Q$ at a distance of $7.2cm$ from the centre of the circle.

Answer 1

1. Draw a circle with centre $P$ and radius $3.4cm$. Take a point $Q$ outside the circle such that $PQ=7.2cm$

2. Draw the perpendicular busector of $PQ$ and mark the midpoint as $M$.

3. Taking $M$ as the centre and $MP$ as the radius, draw a circle and let it intersect the original circle at points $A$ and $B$.

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

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