Loci - Jamb Mathematics Past Questions and Answers

Question 26:

• JAMB 2000

if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is

A. A straight line
B. A circle
C. The bisector of angle PXQ
D. The perpendicular bisector of PQ

Question 27:

• JAMB 2001

Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k.

A. Y = 4 \(\pm\) k
B. Y = k \(\pm\) 4
C. Y = 4 + k
D. Y = k - 4

Question 28:

• JAMB 2002

The locus of a point P which is equidistant from two given points S and T is

A. The perpendicular bisector of ST
B. The angle bisector of PS and ST
C. A perpendicular to ST
D. A line parallel to ST

Question 29:

• JAMB 2003

The locus of a point P which moves on one side only of a straight line XY so that ∠ XPY = 90^o is

A. A circle
B. A semicircle
C. An arc of a circle through X, Y
D. The perpendicular bisector of XY

Question 30:

• JAMB 2003

An aeroplane flies due north from airport P to Q and then flies due east R. If Q is equidistant from P and R, find the bearing of P and R

A. 90^o
B. 135^o
C. 225^o
D. 270^o