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If d Q , R =2...

Question

If d(Q,R) = 25, d(P,R) = 45, What must be the value of d(P,Q) if the points P,Q,R are on the same straight line and Q lies in between P and R

A

30

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B

70

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C

20

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D

50

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Solution

The correct option is D 20
Given P, Q and R are on the same straight line and Q lies between P and R .
So. d(P,Q) + d(Q,R) = d(P,R).
As d(Q,R) = 25 and d(P,R) = 45
$\Rightarrow$ d(P,Q) + 25 = 45
$\Rightarrow$ d(P,Q) = 45-25 = 20
$∴$ d(P,Q)= 20

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