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Questions  

 The equation of a line through the point (1, 2) whose distance from the point (3, 1) has the greatest value is 

a
y=2x
b
y=x+1
c
x+2y=5
d
y=3x−1

detailed solution

Correct option is A

Obviously, the line through Q is at the greatest distance from point P when it is perpendicular to PQ. Now, the slope of line PQ is mPQ=-12Then the slope of perpendicular line passing through Q is y−2=2(x−1) or 2x−y=0

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