If the foot of the perpendicular from the origin to a straight line is at the point $(3, - 4)$ . Then the equation of the line is

3 x - 4 y = 25

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3 x - 4 y + 25

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4 x + 3 y - 25 = 0

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4 x - 3 y + 25 = 0

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Solution

The correct option is A $3 x - 4 y = 25$
Slope of perpendicular $= - \frac{4}{3}$
So, the slope of required line is $\frac{3}{4}$
Since, $(3, - 4)$ lies on the required line.
Hence, the equation of line is given by
$y + 4 = \frac{3}{4} (x - 3)$
$3 x - 4 y = 25$

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