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

a)

A square

b)

A circle

c)

A straight line

d)

Two intersecting lines

Question ID - 52901 :-

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

a)

A square

b)

A circle

c)

A straight line

d)

Two intersecting lines

1 Answer

5876 Votes

3537

Answer Key : (a) -

(a)

Let the two perpendicular lines be taken as the coordinate axes. If be any point on the locus, then according to the given condition . Hence, the locus of is . This consists of four line segments enclosing square as shown in the figure below

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