Straight LineHard
Question
If the sum of the distance of a point two perpendicular lines in a plane is 1, then its locus is
Options
A.square
B.circle
C.straight line
D.two intersecting lines
Solution
By the given conhditions, we can take two peredicular lines as x and y axes. If (h, k) is any point on the locus, then |h|+ |k| = 1 . Therefore, the locus is |x| + |y| =1 .This consist of a square of side 1.
Hence, Therefore, orthocentre of the triangle is at (0, 0),
Hence, Therefore, orthocentre of the triangle is at (0, 0),
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