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Question

If the coordinates of the mid-point of the line segment joining the points (2,1) and (1,-3) is (x, y). What is the relation between x and y?


A

6x + y = 8

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B

2x - 5y = 4

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C

3x - y = 5

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D

2x + 1 = 0

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Solution

The correct option is A

6x + y = 8


From the section formula if (x, y) are the midpoints of the line segment joining (x1,y1) and (x2,y2), then x = x1+x22 and y = y1+y22. So x = 32 and y = -1. Among the equations given just for the one that satisfies the value of​ x = 32 and y = -1


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