Draw a circle with the help of a round bowl turned upside-down. Take a point $P$ in the exterior of the circle and draw tangents to the circle from that point. Write the steps of construction.
(N/A) Step $1$: Place a round bowl upside-down on a paper and trace its boundary to draw a circle.
Step $2$: Since the center of the circle is unknown,draw two non-parallel chords $AB$ and $CD$ of the circle.
Step $3$: Draw the perpendicular bisectors of chords $AB$ and $CD$. The point where these bisectors intersect is the center $O$ of the circle.
Step $4$: Mark a point $P$ outside the circle.
Step $5$: Join $OP$ and draw the perpendicular bisector of $OP$. Let $M$ be the midpoint of $OP$.
Step $6$: With $M$ as the center and $MO$ as the radius,draw a circle. Let this circle intersect the original circle at points $Q$ and $R$.
Step $7$: Join $PQ$ and $PR$. $PQ$ and $PR$ are the required tangents to the circle from point $P$.
Step $2$: Since the center of the circle is unknown,draw two non-parallel chords $AB$ and $CD$ of the circle.
Step $3$: Draw the perpendicular bisectors of chords $AB$ and $CD$. The point where these bisectors intersect is the center $O$ of the circle.
Step $4$: Mark a point $P$ outside the circle.
Step $5$: Join $OP$ and draw the perpendicular bisector of $OP$. Let $M$ be the midpoint of $OP$.
Step $6$: With $M$ as the center and $MO$ as the radius,draw a circle. Let this circle intersect the original circle at points $Q$ and $R$.
Step $7$: Join $PQ$ and $PR$. $PQ$ and $PR$ are the required tangents to the circle from point $P$.
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