Question

Two perpendicular lines are intersecting at $(4,3)$. One meeting coordinate axis at $(4,0)$, find the coordinates of the intersection of other line with the cordinate axes.

• A. $(0,3)$
• B. $(1,3)$
• C. $(3,0)$
• D. None of these

Answer 1

The correct option is A $(0,3)$

Two perpendicular lines are intersecting at $(4,3)$ where one line is meeting at $(4,0)$ with coordinate axis

Hence equation of one line from $(4,3)$ and $(4,0)$

$y=\frac{3}{0}(x-4)$

$x=4$

The equation of perpendicular line to $x=4$ is $y=\lambda$

The perpenduclar line is passing through $(4,3)$

Hence $\lambda =3$

$y=3$

The another perpendicular line meeting at $(0,3)$ with coordinate axis