Question

Draw a circle with centre $P$ and radius $3.4cm$. Take point $Q$ at a distance $5.5cm$ from the centre. Construct tangents to the circle from point $Q$.

Answer 1

Steps of Construction:

Step 1: Construct a circle of radius $3.4cm$ with centre $P$.

Step 2: Take a point $Q$ in the exterior of the circle such that $PQ=5.5cm$

Step 3: Draw segment $PQ$. Draw perpendicular bisector of segment $PQ$ to get its midpoint $M$.

Step 4: Draw a circle with radius $PM$ and centre $M$.

Step 5: Name the point of intersection of the two circles as $A$ and $B$.

Step 6: Draw line $QA$ and line $QB$.

Here, line $QA$ and line $QB$ are tangents to the circle from point $Q$.