JEE Main 1992 Mathematics question on Straight Lines and Pair of 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
Show answer and solution
Correct option: A
Solution
Let the two perpendicular lines be the coordinate axes. The sum of distances from a point (x, y) to the x-axis and y-axis is |y| + |x| = 1. This equation |x| + |y| = 1 represents a square with vertices at (1,0), (0,1), (-1,0), (0,-1) — a rhombus/square rotated 45° with diagonal length 2.
[1992]
Practise Straight Lines and Pair of Lines the way it is asked
A timed set of real JEE Main Straight Lines and Pair of Lines questions, graded as the exam grades. No sign-up.
