Question

The sum of the point distance of a point $P$ from two perpendicular lines in a plane is $1$. Then locus of $P$ is

• A. Square
• B. Circle
• C. Straight line
• D. Pair of straight line

Answer 1

The correct option is C Straight line

RE.F. Image .

Given ,

Sum of the distance of a moving

point in a plane from the axes is 1 .

also given ,

to find the locus of the point

Let , Distance of

point from x axis = y

and let ,

distance of point

from y axis = x

so , here we got the

moving point for a plane

is P(x,y)

$\therefore$ locus will be $\Rightarrow x+y=1$