Jamb Mathematics 1999 Past Questions and Answers

Question 21:

• JAMB 1999

From a point P, the bearings of two points Q and R are N67⁰W and N23⁰E respectively. If the bearing of R from Q is N68⁰E and PQ = 150m, calculate PR

A. 120m
B. 140m
C. 150m
D. 160m

Question 22:

• 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

Question 23:

• JAMB 1999

Find the area bounded by the curve y = x(2-x). The x-axis, x = 0 and x = 2.

A. 4 sq units
B. 2 sq units
C. \(\frac{4}{3}sq\hspace{1 mm}units\)
D. \(\frac{1}{3}sq\hspace{1 mm}units\)

Question 24:

• JAMB 1999

Evaluate: \(\int^{z}_{0}(sin x - cos x) dx \hspace{1mm}
Where\hspace{1mm}letter\hspace{1mm}z = \frac{\pi}{4}. (\pi = pi)\)

A. \(\sqrt{2 +1}\)
B. \(\sqrt{2 }-1\)
C. \(-\sqrt{2 }-1\)
D. \(1-\sqrt{2}\)

Question 25:

• JAMB 1999

Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.

A. 81 π cubic units
B. 36 π cubic units
C. 18 π cubic units
D. 9 π cubic units