waecmaths question:
If P(2, 3) and Q( 2, 5) are points on a graph, calculate the length PQ
Option A:
6 units
Option B:
3 units
Option C:
4 units
Option D:
2 units
waecmaths solution:
$\begin{align} & P=({{x}_{1}},{{y}_{1}})=(2,3) \\ & Q=({{x}_{1}},{{y}_{2}})=(2,5) \\ & d=\left| PQ \right|=\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}-{{({{y}_{2}}-{{y}_{1}})}^{2}}} \\ & d=\left| PQ \right|=\sqrt{{{(2-2)}^{2}}+{{(5-3)}^{2}}}=\sqrt{{{2}^{2}}} \\ & d=\left| PQ \right|=2units \\\end{align}$
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