Loci - Mathematics Jamb Past Questions and Answers

Question 21 :

• JAMB 1995

P is on the locus of points equidiatant from two given points X and Y. UV is a straight line throuh Y parallel to the locus. If < PYU is 40°, find < XPY.

A. 100^o
B. 80 ^o
C. 50 ^o
D. 40 ^o

Question 22 :

• JAMB 1995

Find the distance between two towns P(45°N, 30°W) and Q(15°S, 30°W) if the radius of the earth is 7000km. [\(\pi = \frac{22}{7}\)]

A. \(\frac{1100}{3}\)km
B. \(\frac{2200}{3}\)km
C. \(\frac{22000}{3}\)km
D. \(\frac{1100}{3}\)km

Question 23 :

• JAMB 1995

P is on the locus of points equidiatant from two given points X and Y. UV is a straight line throuh Y parallel to the locus. If < PYU is 40°, find < XPY.

A. 100^o
B. 80 ^o
C. 50 ^o
D. 40 ^o

Question 24 :

• JAMB 1998

The locus of all points at a distance 8cm from a point N passes through points T and S. If S is equidistant from T and N, find the area of triangle STN.

A. 4\(\sqrt{3cm^2}\)
B. 16\(\sqrt{3cm^2}\)
C. 32cm²
D. 64cm²

Question 25 :

• JAMB 1999

Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)

A. 2x + 2y = 9
B. 2x + 3y = 8
C. 2x + y = 9
D. X + 2y = 8