Question

The locus of a point $P$ which moves such that the sum of its distances from two perpendicular lines is equal to 1 is a

• A. Square
• B. Circle
• C. Straight line
• D. set of four parallel lines

Answer 1

Answer: (A)

Let $P(x,y)$ be any point.
Then, $|PA|+|PB|=1$

$\Rightarrow |x|+|y|=1$
Lines are $x+y=1,x-y=1$
$-x+y=1,-x-y=1$

Which forms a square