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If the sum of distances from a point P on two mutually perpendicular straight lines is 1 unit, then the locus of P is (A) a parabola (B) a circle (C) an ellipse (D) a straight line

If the sum of distances from a point P on two mutually perpendicular straight lines is 1 unit, then the locus of P is
(A) a parabola (B) a circle (C) an ellipse (D) a straight line

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2 Answers

Arun
25757 Points
3 years ago
Dear student
 
| x| + |y | = 1
 
hence this is the set of straight lines.
option D is correct
 
Thanks and Regards
Vikas TU
14149 Points
3 years ago
If we choose our coordinate-axes as the given perpendicular lines, then the locus is the (diamond-shaped) square with vertices at (1,0), (0,1), (-1,0) and (0,-1). The locus has the equation |x| + |y| = 1, as the distances of the point (x,y) from the x- and the y-axis are |y| and |x|, respectively.

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