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Question

Draw line l and take any point P on it. Draw line m perpendicular to line l at point P.

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Solution

Steps of construction:

1. Draw a line l.
2. Take any point P on it.
3. With P as centre, draw a semicircle, cutting the line l at M and N.
4. With M as centre and radius more than half of MN, draw an arc.
5. With N as centre and the same radius, draw another arc, cutting the previously drawn arc at Q.
6. Join PQ and produce it to both sides to get the line m.

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