Draw a line segment PQ of length 12 cm. Mark a point O outside this segment. Draw a line through O perpendicular to PQ

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Solution

Draw a line l and take a point P on it.
Using a ruler and a compass, mark a point Q on the line l, where PQ = 12 cm
Mark a point O outside PQ.
Now, with O as centre, draw an arc of appropriate radius such that the arc cuts the line at points A and B.
Taking A and B as centres, construct two arcs such that they intersect each other at C.
Join OC.
OC is the required line, which is perpendicular to PQ.

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