If the sum of the distances of a point from two perpendicular lines a plane is 1, then its locus is

a)

Square

b)

Circle

c)

Straight line

d)

Two intersecting lines

Question ID - 51561 :-

If the sum of the distances of a point from two perpendicular lines a plane is 1, then its locus is

a)

Square

b)

Circle

c)

Straight line

d)

Two intersecting lines

1 Answer

5876 Votes

3537

Answer Key : (a) -

(a)

Let the two perpendicular lines be the coordinate axes. Let be the point, sum of whose distance from two axes is 1. Then we must have

or

These are the four lines . Any two adjacent sides are perpendicular to each other. Also, each line is equidistant from origin. Therefore, figure formed is a square

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