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Byju's Answer
Standard IX
Mathematics
Betweenness
If P-Q-R and ...
Question
If P - Q - R and d(P, Q) = 10 units, d(P, R) = 20 units, then d(Q, R) = ________ units.
A
10
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B
20
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C
30
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D
5
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Solution
The correct option is
A
10
Given, P - Q - R , which means point Q is between P and R.
d(P, Q) = 10 units and d(P, R) = 20 units
From the figure,
d(P, Q) + d(Q, R) = d(P, R)
⇒
10 + d(Q, R) = 20
⇒
d(Q, R) = 20 - 10
∴
d(Q, R) = 10 units
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