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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)

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Solution

Let the points A(4,1) and B(2,3).

We know that the equation of line passing through two points,

yy1=y2y1x2x1(xx1)

y1=3124(x4)

y1=22(x4)

y1=1(x4)

y1=x+4

x+y5=0 ……. (1)

Since, the distance from the point (4,2) to above line

d=1×4+1×2512+12

d=4+252

d=12

Hence, this is the answer.


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