The perpendicular from the origin to a line L meets it at the point (3, – 9), equation of the line L is

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x-3y=30

3x-y=18

x+3y+24=0

3x+y=18

answer is A.

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Detailed Solution

Slope of the perpendicular line is -93=-3⇒ slope of L is 1/3 and as it passes through (3, -9) equation of L is y+9=(1/3)(x−3)⇒ x−3y=30

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