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Question

Find the distance of the point (4,2) from the line passing through the points (4,1) and (2,3).

A
12
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B
12
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C
12
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D
None of these
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Solution

The correct option is B 12
Equation of the line passing through the point (4,1) and (2,3) is
x4y1=2431=>x4y1=22=>x4=1(y1)
=>x4=1y
=>x+y5=0
Distance=|4+25|1+1=|65|2=12.

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