If P - Q - R and d P - Q -2 units- d P - R -10 units- then d Q - R -units-A- 12B- 8C- 20D- 2

The correct option is B 8Given, P Q R , which means point Q is between P and R. nbsp; d(P,Q) = 2 units and d(P,R) = 10 units From the figure, d(P,Q) ...

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Standard IX

Mathematics

Betweenness

If P - Q - R ...

Question

If P - Q - R and d(P,Q) = 2 units, d(P,R) = 10 units, then d(Q,R) = ________ units.

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Solution

The correct option is B 8
Given, P - Q - R , which means point Q is between P and R.

d(P,Q) = 2 units and d(P,R) = 10 units

From the figure,

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

$\Rightarrow$ 2 + d(Q,R) = 10

$\Rightarrow$ d(Q,R) = 10 - 2

$∴$ d(Q,R) = 8 units

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If P - Q - R and d(P,Q) = 2 units, d(P,R) = 10 units, then d(Q,R) = ________ units.

The correct option is B 8Given, P - Q - R , which means point Q is between P and R. d(P,Q) = 2 units and d(P,R) = 10 units From the figure, d(P,Q) + d(Q,R) = d(P,R) ⇒ 2 + d(Q,R) = 10 ⇒ d(Q,R) = 10 - 2 ∴ d(Q,R) = 8 units

The correct option is B 8
Given, P - Q - R , which means point Q is between P and R.

d(P,Q) = 2 units and d(P,R) = 10 units

From the figure,

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

$\Rightarrow$ 2 + d(Q,R) = 10

$\Rightarrow$ d(Q,R) = 10 - 2

$∴$ d(Q,R) = 8 units