### Mathematics Past Questions

21
In ∆MNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of and M meets NO at P, calculate NP.
• A. 4.8 units
• B. 7.2 units
• C. 8.0 units
• D. 18.0 units
JAMB 1999
22

Find the tangent to the acute angle between the lines 2x + y = 3 and 3x - 2y = 5.

• A. -7/4
• B. 7/8
• C. 7/4
• D. 7/2
JAMB 1999
23
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
JAMB 1999
24
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
JAMB 1999
25
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. $$\frac{1}{3}sq\hspace{1 mm}units$$
JAMB 1999