. Draw a line l and mark a point P lying above the line and another point Q lying below the line. Draw lines perpendicular to l passing through the points P and Q. Do these lines intersect? Verify by extending the lines.
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Step-by-step explanation:
Step I: Draw a line PQ and take a point R on it.
Step II: With R as centre and a convenient radius construct an arc touching the line PQ at two points A and B.
Step III: With A and B as centres and a radius greater than RA construct two arcs cutting each other at S.
Step IV: Join RS and extend it in both directions to get a line perpendicular to PQ.
Thus, XY is the line required which is perpendicular to PQ and passes through R as shown in the above image.
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