If P - Q - R and d Q - R -30 units- d P - R -70 units- then d P - Q -units-A- 30B- 40C- 70D- 10

The correct option is B 40Given, P Q R , which means point Q is between P and R. nbsp; d(Q, R) = 30 units and d(P, R) = 70 units From the figure, d(P ...

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Standard IX

Mathematics

Betweenness

If P - Q - R ...

Question

If P - Q - R and d(Q, R) = 30 units, d(P, R) = 70 units, then d(P, Q) = ________ units.

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Solution

The correct option is C 40
Given,
P - Q - R , which means point Q is between P and R.

d(Q, R) = 30 units and d(P, R) = 70 units

From the figure,

d(P, Q) + d(Q, R) = d(P, R)

$\Rightarrow$ d(P, Q) + 30 = 70

$\Rightarrow$ d(P, Q) = 70 - 30

$∴$ d(P, Q) = 40 units

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If P - Q - R and d(Q, R) = 30 units, d(P, R) = 70 units, then d(P, Q) = ________ units.

The correct option is C 40Given, P - Q - R , which means point Q is between P and R. d(Q, R) = 30 units and d(P, R) = 70 units From the figure, d(P, Q) + d(Q, R) = d(P, R) ⇒ d(P, Q) + 30 = 70 ⇒ d(P, Q) = 70 - 30 ∴ d(P, Q) = 40 units

The correct option is C 40
Given,
P - Q - R , which means point Q is between P and R.

d(Q, R) = 30 units and d(P, R) = 70 units

From the figure,

d(P, Q) + d(Q, R) = d(P, R)

$\Rightarrow$ d(P, Q) + 30 = 70

$\Rightarrow$ d(P, Q) = 70 - 30

$∴$ d(P, Q) = 40 units