Jambmaths question:
Determine the distance between point P(3, 4) and Q(4,5)
Option A:
2
Option B:
$\sqrt{5}$
Option C:
$\sqrt{2}$
Option D:
1
Jamb Maths Solution:
$\begin{align} & ({{x}_{1}},{{y}_{1}})=(3,4),\text{ }({{x}_{2}},{{y}_{2}})=(4,5) \\ & d=\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}+{{({{y}_{2}}-{{y}_{1}})}^{2}}} \\ & d=\sqrt{{{(4-3)}^{2}}+{{(5-4)}^{2}}} \\ & d=\sqrt{{{1}^{2}}+{{1}^{2}}}=\sqrt{2} \\\end{align}$
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