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Question

If P, Q, R are three points on a line and Q lies between P and R, then which of the following is equal to PR - PQ?

A
PQ
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B
PQR
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C
QR
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D
PR
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Solution

The correct option is C QR
Weknow that,
Euclid's fourth axiom states that, things which coincide with one another are equal to one another.

Therefore, PQ + QR = PR.


Subtracting PQ from bot the sides.
PR - PQ = PQ + QR - PQ
PR -PQ = QR.

Hence, PR -PQ = QR.

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