First slide

Equation of line in Straight lines

Question

If the sum of the distances of a point from two perpendicular lines is 1 then its locus is

Moderate

A

square
B

circle
C

straight line
D

two intersecting lines.

Solution

Let us take the two perpendicular line as the
axes of coordinates. If (h, k) is any point of the locus, then
$| h | + | k | = 1$
Locus is $| x | + | y | = 1$
This consists of four line segment
$x + y = \pm 1, x - y = \pm 1$
which form a square
$Fig. 16.15$

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