Question

If A (3,-2) and B (-1, 4) then find the co-ordinates of the midpoint ?
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Answer 1

Step-by-step explanation:

Let P (x, y) be the mid points of the segment joining the points A (3,-2) and B (-1, 4).

$\therefore \: x = \frac{x_1+x_2}{2} \\ \\ \therefore \: x = \frac{3+( - 1)}{2} \\ \\ \therefore \: x = \frac{3 - 1}{2} \\ \\ \therefore \: x = \frac{2}{2} \\ \\ \therefore \: x = 1 \\ \\ y= \frac{y_1+y_2}{2} \\ \\ \therefore \: y = \frac{ - 2 + 4}{2} \\ \\ \therefore \: y= \frac{2}{2} \\ \\ \therefore \: y= 1 \\ \\ thus \\ \\ P (x, y) = P (1, 1)$

Hence, the the co-ordinates of the midpoint ofA (3,-2) and B (-1, 4) are P (1, 1).

Answer 2

Step-by-step explanation:

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