Question 5

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Jambmaths question: 

Find the midpoint of the line joining  P(–3,5)  and Q (5, –3)

Option A: 

(1,1)

Option B: 

(2,2)

Option C: 

(4,4)

Option D: 

(4, –4)

Jamb Maths Solution: 

$\begin{align}  & ({{x}_{1}},{{y}_{1}})=(-3,5) \\ & ({{x}_{2}},{{y}_{2}})=(5,-3) \\ & \text{Midpoint of a line segment is given as} \\ & (x,y)=\left( \frac{{{x}_{1}}+{{x}_{2}}}{2},\frac{{{y}_{1}}+{{y}_{2}}}{2} \right) \\ & (x,y)=\left( \frac{-3+5}{2},\frac{5-3}{2} \right) \\ & (x,y)=\left( \frac{2}{2},\frac{2}{2} \right)=\left( 1,1 \right) \\\end{align}$

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