Question 35

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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