Question 33

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Jambmaths question: 

Calculate the distance between L ( –1, –6) and M(–3, –5)

Option A: 

$\sqrt{5}$

Option B: 

$2\sqrt{3}$

Option C: 

$\sqrt{20}$

Option D: 

$\sqrt{53}$

Jamb Maths Solution: 

$\begin{align}  & D=\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}+{{({{y}_{2}}-{{y}_{1}})}^{2}}} \\ & D=\sqrt{{{\left[ -3-(-1) \right]}^{2}}+{{\left[ -5-(-6) \right]}^{2}}} \\ & D=\sqrt{{{(-2)}^{2}}+{{1}^{2}}}=\sqrt{5} \\\end{align}$

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