If P-Q-R and dQ- R-12 units- dP- R-30 units- then dP- Q- units-A- 12B- 18C- 16D- 14

The correct option is B 18Given, P Q R , which means point Q is between points P and R. nbsp; d(Q, R) = 12 units and d(P, R) = 30 units From the figur ...

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Standard IX

Mathematics

Coordinates of Points and Distances

If P-Q-R and ...

Question

If P - Q - R and d(Q, R) = 12 units, d(P, R) = 30 units, then d(P, Q) = ________ units.

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Solution

The correct option is B 18
Given, P - Q - R , which means point Q is between points P and R.

d(Q, R) = 12 units and d(P, R) = 30 units

From the figure,

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

$\Rightarrow$ d(P, Q) + 12 = 30

$\Rightarrow$ d(P, Q) = 30 - 12

$∴$ d(P, Q) = 18 units

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If P - Q - R and d(Q, R) = 12 units, d(P, R) = 30 units, then d(P, Q) = ________ units.

The correct option is B 18Given, P - Q - R , which means point Q is between points P and R. d(Q, R) = 12 units and d(P, R) = 30 units From the figure, d(P, Q) + d(Q, R) = d(P, R) ⇒ d(P, Q) + 12 = 30 ⇒ d(P, Q) = 30 - 12 ∴ d(P, Q) = 18 units

The correct option is B 18
Given, P - Q - R , which means point Q is between points P and R.

d(Q, R) = 12 units and d(P, R) = 30 units

From the figure,

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

$\Rightarrow$ d(P, Q) + 12 = 30

$\Rightarrow$ d(P, Q) = 30 - 12

$∴$ d(P, Q) = 18 units