The coordinate of the mid-point of the line segment joining the points (2

Question

The coordinate of the mid-point of the line segment joining the points (2,1) and (1,-3) is ____.

Options:

A .

(\frac{3}{2}, - 1)

B .

(- 3, - 2)

C .

(3, - 2)

D .

(4, - 1)

Answer: Option A
:
A

Let, $(x, y)$ be coordinates of the mid-point.
From the section formula if $(x, y)$ are the midpoints of the line segment joining $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ ,

then $x = \frac{x_{1} + x_{2}}{2}$ and $y = \frac{y_{1} + y_{2}}{2}$

$x = \frac{2 + 1}{2}$ and $y = \frac{- 3 + 1}{2}$

So, $(x, y) = (\frac{3}{2}, - 1)$

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