Home Maths Straight Line Problems Related to Triangle and Quadrilateral, Locus If the sum of the distances of a point from …
Maths Straight Line Problems Related to Triangle and Quadrilateral, Locus Single Correct MCQ
Published on: August 13, 2026

If the sum of the distances 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

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Text Solution

Verified by Experts
The correct answer is:
A

Required locus of the point is the curve . If the point lies in the first quadrant, then and so , which is straight line AB . If the point lies in second quadrant then , and so ⇒ ⇒

Similarly for third and fourth quadrant, the equations are and .

Hence the required locus is the curve consisting of the sides of the square ABCD .

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