JAMB Mathematics 2009 Objective — Question 30

Question 30 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

Find the locus of a particle which moves in the first quadrant so that it is equidistant from the lines x=0 and y=0 where k is constant

A. x+y=0
B. x-y=0Correct
C. x+y+k=0
D. x-y-k=0

Explanation

The locus equidistant from the x-axis (y=0) and y-axis (x=0) in the first quadrant is the line x-y=0.

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