Loci - Jamb Mathematics Past Questions and Answers

Question 36:

• JAMB 2007

A particle P moves between points S and T such that angles SPT is always constant of ST constant. Find the locus of P

A. It is a semi circle with ST as diameter
B. It is a perpendicular bisector of St
C. It is a quadrant of a circle with ST as diameter
D. It is a straight line perpendicular to ST

Question 37:

• JAMB 2009

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 a constant)

A. X + y = 0
B. X - y = 0
C. X + y + k = 0
D. X - y - k = 0

Question 38:

• JAMB 2010

What is the locus of point that is equidistant from points P(1,3) and Q(3,5)?

A. Y = -χ + 6
B. Y = -χ - 6
C. Y = χ + 6
D. Y = χ - 6

Question 39:

• JAMB 2011

The perpendicular bisector of a line XY is the locus of a point

A. Whose distance from X is always twice its distance from Y
B. Whose distance from Y is always twice its distance from X.
C. Which moves on the line XY
D. Which is equidistant from the points X and Y

Question 40:

• JAMB 2013

The locus of the points which is equidistant from the line PQ forms a

A. Perpendicular line to PQ
B. Circle centre P
C. Circle centre Q
D. Pair of parallel lines to PQ