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Answer
Note: We should have a strong grip over the concepts of basic coordinate and analytical geometry and construction in order to deal with such questions. One must be open to mathematical ideas and construction methods to innovate and analyze the steps of construction required to get to the final result. We should know the fact that parallel lines are always equidistant to each other in order to solve the problem. One can also mark more points at a distance of $4.5$ centimeter in order to be sure of the final construction.
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Question 4 Constructions Exercise 17.1
Answer:
Steps of construction:
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Draw a line PQ.
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Take any two points A and B on the line.
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Construct ∠PBF = 90o and ∠QAE = 90o
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With A as center and radius 5 cm cut AE at C.
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With B as center and radius 5 cm cut BF at D.
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Join CD and produce it on either side to get the required line parallel to AB and at a distance of 5 cm from it.
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