Question
Draw two concentric circle of radii $3\ cm$ and $5\ cm$. Taking a point on the outer circle, construct the pair of tangents to the inner circle.

Answer


Steps of construction:
1. Draw a circle with radius $3 \ cm$ and centre $O .$
2. Draw another circle with radius $5 \ cm$ and same centre $O$.
3. Take a point $P$ on the circumference of larger circle and join $O$ to $p$.
4. Taking $O P$ as diameter draw another circle which intersects the smallest circle at $A$ and $B$.
5. Join $A$ to $P$ and $B$ to $P$.
Hence $A P$ and $B P$ are the required tangents.

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