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Question
The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.
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Solution
Distance between U and T = 1 unit
It is divided into 3 equal parts
Given, TR = RS = SU and AP = PQ = QB
It is clear from the given picture that
P = `21/3 "and" 7/3`
Q =`22/3 "and" 8/3`
R = `- 11/3 "and" -4/3`
And, S = `- 12/3 "and" -5/3`
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