Question
Draw a line $AB$. Take a point $P$ outside it. Deaw a line passing through $P$ and perpendicular to $AB.$

Answer


Steps for construction:
1. Draw a line $A B$.
2. Take a point $P$ outside $A B$.
3. With $P$ as the centre and a convenient radius, draw an arc intersecting $A B$ at $M$ and $N$, respectively.
4. With $M$ as the centre and radius more than half of $M N$, draw an arc.
5. With N as the centre and the same radius, draw an arc cutting the previously drawn arc at $Q .$
6. Draw $PQ$ meeting $A B$ at $S$.
$P Q$ is the required line that passes through $P$ and is perpendicular to $A B$.

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