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Question

Draw line x and take a point R outside that line through the point R draw line y perpendicular to line x.

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Solution

Steps of construction:

1. Draw a line x.
2. Take any point R outside it.
3. With R as centre, draw an arc, cutting the line x 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 RQ and produce it to both sides to get the line y.

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