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Axioms

P QRIf P, Q,...

Question

If P, Q, R are three points on a line and Q lies between P and R, then $P R - P Q =$ ______.

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PQR

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Solution

The correct option is C QR

In the figure, $P R$ coincides with $P Q + Q R$
Euclid’s 4th axiom says that " Things which coincide with one another are equal to one another ".

Therefore, it can be deduced that $P Q + Q R = P R .$

Now, substituting this value of PR in the given equation
$P R - P Q = P Q + Q R - P Q = Q R$

Hence, $P R - P Q = Q R$

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