GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 396:

• JAMB 1995

In a triangle XYZ, < YXZ = 44° and < XYZ = 112°. Calculate the acute angle between the internal bisectors of < XYZ and < XZY.

A. 12^o
B. 56^o
C. 68^o
D. 78^o

Question 397:

• 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 398:

• JAMB 1995

Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x - 2y + 4 = 0, find the equation of QR

A. X + 2y - 1= -0
B. 2x + y - 3 = 0
C. X - 2y - 3 = 0
D. 2x + y - 1 = 0

Question 399:

• 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 400:

• JAMB 1995

A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60^o. Calculate the height of the water tank.

A. 60m
B. 30 \(\sqrt{3}\)m
C. 20 \(\sqrt{3}\)m
D. 10 \(\sqrt{3}\)m