Find the mid-points of the line segment joining the points.
$(a, b)$ and $(a + 2 b, 2 a - b)$

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Solution

Given: Two points $(a, b)$ and $(a + 2 b, 2 a - b)$
Let P(x,y) be the mid point of given points.
$∴ P (x, y) = P (\frac{a + a + 2 b}{2}, \frac{b + 2 a - b}{2})$
$\Rightarrow p (a + b, a)$ is the required midpoint.

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