In an examination hall, students are seated at a distance of 2 m from each other, to maintain the social distance due to CORONA virus pandemic. Let three students sit at points A, B and C whose coordinates are (4, -3), (7,3), and (8, 5) respectively.
Based on the above information, answer the following questions.
(Q)The mid-point of the line segment joining A and C is __________.

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Solution

The mid - point of A and C can be calculated by the midpoint formula as:
$\frac{x_{1} + x_{2}}{2}$ , $\frac{y_{1} - y_{2}}{2}$
$\frac{8 + 4}{2}$ , $\frac{5 - 3}{2}$
$(6, 1)$

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The mid - point of A and C can be calculated by the midpoint formula as: x1+x22, y1−y22 8+42, 5−32 (6,1)

The mid - point of A and C can be calculated by the midpoint formula as:
$\frac{x_{1} + x_{2}}{2}$ , $\frac{y_{1} - y_{2}}{2}$
$\frac{8 + 4}{2}$ , $\frac{5 - 3}{2}$
$(6, 1)$