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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