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Question

Find the coordinates of the midpoint of the line segment joining the points (2, 1) and (1, -3).

A
(0,13)
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B
(2,35)
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C
(32,1)
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D
(14,0)
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Solution

The correct option is C (32,1)

Let the midpoint be (x, y).

If (x, y) is the midpoint of the line joining the points (x1,y1) and (x2,y2) then
(x,y)=(x1+x22,y1+y22)

Here, (x1, y1)=(2,1),
(x2, y2)=(1,3)

(x,y)=(2+12,1+(3)2)=(32,1)

Therefore, coordinates of the midpoint of the line segment joining the points (2, 1) and (1, -3) are (32,1).


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