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Question


If P, Q, R are three points on a line and Q lies between P and R, then PR - PQ = ______.
  1. PQ
  2. PQR
  3. QR
  4. PR


Solution

The correct option is C QR

In the figure, PR coincides with PQ + QR  Euclid’s 4th axiom says that " Things which coincide with one another are equal to one another ".

Therefore, it can be deduced that PQ + QR = PR.

Now, substituting this value of PR in the given equation
PR - PQ = PQ + QR - PQ = QR

Hence, PR - PQ = QR
 

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