Suppose that A(3,5) and B(7,1) are any two given points. The point where the line with slope m=1 and bisecting the line segment AB¯ meets the line AB¯ is

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−5,4

5,0

5,3

0,−4

answer is C.

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Detailed Solution

Since the line is bisecting the line AB¯, required point is midpoint of AB¯ Hence the midpoint of AB is x1+x22,y1+y22=3+72,5+12=(5,3)

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