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
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 | SaraNextGen Top Answer
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
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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
127 votes
Answer Key / Explanation : (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
127 votes
Answer Link
127