First slide

Equation of line in Straight lines

Question

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

Easy

A

$x - 3 y = 30$
B

$3 x - y = 18$
C

$x + 3 y + 24 = 0$
D

$3 x + y = 18$

Solution

Slope of the perpendicular line is $\frac{- 9}{3} = - 3$
$\Rightarrow$ slope of $L$ is $(1 / 3)$ and as it passes through $(3, - 9)$ equation of $L$ is
$\begin{array}{l} y + 9 = (1 / 3) (x - 3) \\ \Rightarrow x - 3 y = 30 \end{array}$

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