Loci - Jamb Mathematics Past Questions and Answers

Question 11:

• JAMB 1978

The locus of all points having a distance of 1 unit from each of the two fixed points a and b is

A. A line parallel to the line ab
B. A line perpendicular to the line ab through the mid-point of ab
C. A circle through a and b with centre at the mid-point of ab
D. A circle with centre at a and passes through b
E. A circle in a plane perpendicular to ab and centre at the mid-point of the line ab

Question 12:

• JAMB 1980

P and Q are fixed points and X is a variable point which moves so that angle PXQ = 45o. What is the locus of x?

A. A pair of straight lines parallel to PQ
B. The perpendicular bisector of PQ
C. An arc of a circle passing through P and Q
D. A circle with diameter PQ
E. The bisector of angle PXQ

Question 13:

• JAMB 1982

The square base of a pyramid of side 3cm has height 8cm. If the pyramid is cut into two parts by a plane parallel to the base midway between the base and the vertex, the volumes of the two sections are

A. (21cm³, 3cm³)
B. (24cm³, 3cm³)
C. (24cm³, 21cm³)
D. (72cm³, 9cm³)
E. (63cm³, 9cm³)

Question 14:

• JAMB 1986

If U and V are two distinct fixed points and W is a variable points such that UWV is a right angle, what is the locus of W?

A. The perpendicular bisector of UV
B. A circle with UV as radius
C. A line parallel to the line UV
D. A circle with the line UV as the diameter

Question 15:

• JAMB 1987

What is the locus of the mid-points of all chords of length 6cm within a circle of radius 5cm and with centre 0

A. A circle of radius 4 cm and with centre O
B. The perpendicular bisector of the chords
C. A straight line passing through centre O
D. A circle of radius 6 cm and with centre O