Question
Mathematics Question on Straight lines
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
Answer
square
Explanation
Solution
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.