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Question

The distance of the point (1, 2) from the straight line with slope 5 and passing through the point of intersection of lines x + 2y = 5 and x – 3y = 7 is



Your Answer
A

Your Answer
B

Correct Answer
C

Your Answer
D


Solution

The correct option is C


The two lines x + 2y = 5 and x – 3y = 7 intersect at the point P(295,25)

Equation of the line through the point P (295,25) having slope 5 is

y+25=5(x295)or 5y+2=5(5x29)

or 25x – 5y – 147 = 0               …… (1)

Now, length of the perpendicular from the point (1, 2) to the line (1) is

P=|25(1)5(2)147|(25)2+52=132650

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