Straight Line And Pair Of Straight Lines Ques 31
- If the sum of the distance of a point from two perpendicular lines in a plane is 1 , then its locus is
(a) square
(b) circle
(c) straight line
(d) two intersecting lines $(1992,2 M)$
Show Answer
Solution:
Formula:
- By the given conditions, we can take two perpendicular lines as $x$ and $y$ axes. If $(h, k)$ is any point on the locus, then $|h|+|k|=1$. Therefore, the locus is $|x|+|y|=1$. This consist of a square of side 1 .
Hence, the required locus is a square.
BETA
