Q.

If sum of the distances of a point from two perpendicular lines in a plane is1, then its locus is

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a

A square

b

A circle

c

A straight line

d

Two intersecting lines

answer is A.

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Detailed Solution

Let the two perpendicular lines be taken as the coordinate axes. if (h,k) be any point on the locus, then according to the given condition |h|+|k|=1Hence, the locus of (h, k) is |x|+|y|=1 . This consists of four line segments enclosing a square as shown in the figure below.
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