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Question

Let PS be the median of the triangle with vertices P(2,2),Q(6,1) and R(7,3). The equation of the line passing through (1,1) and parallel to PS is

A
4x7y11=0
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B
2x+9y+7=0
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C
4x+7y+3=0
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D
2x9y11=0
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Solution

The correct option is B 2x+9y+7=0
S is the mid point of line QR


The coordinates of S are (132,1)
the slope of median PS, m=121322=29
The equation of the line passing through point (1,1) and having slope 29 is
y+1=29(x1)
2x+9y+7=0

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