Questions
If the sum of the distances of a point from two perpendicular lines in a plane is 1 , then its locus is
detailed solution
Correct option is A
Let the two perpendicular lines be the coordinate axes. Let (x, y) be the point, sum of whose distances from two axes is1. Then we must have |x|+|y|=1 or ±x±y=1The four lines are x+y=1,x−y=1,−x+y=1,−x−y=1Any two adjacent sides are perpendicular to each other. Also, each line is equidistant from the origin. Therefore, the figure formed is a square.Talk to our academic expert!
Similar Questions
The line meets the y-and x-axis at A and B, respectively. A square is constructed on the line segment AB way from the origin. The coordinates of the vertex of the square farthest from the origin are
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