1995 - JAMB Mathematics Past Questions and Answers - page 3

21
If a b = + ab, evaluate 2 (12 27)
A
12
B
9
C
6
D
2
22
Find the sum to infinity of the following sequence 1. 910, 2. (910), 3. (910)
A
110
B
910
C
109
D
10
23
|211 21k\131| = 23
A
1
B
2
C
3
D
4
24
If x = (12 03) and y = (21 43). Find xy.
A
(107 129)
B
(27 417)
C
(104 46)
D
(43 109)
25
In a triangle xyz, < yxz = 44 and < xyz = 112o. Calculate the acute angle between the internal bisectors of < xyz and < xzy
A
50o
B
65o
C
85o
D
130o
26
Find the distance between two towns p(45o N, 30oW) and Q(15oS, 30oW) if the radius of the earth is 7000km. [π=227]
A
11003km
B
22003km
C
220003km
D
11003km
27
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
28
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
100o
B
80 o
C
50 o
D
40 o
29
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 60o. Calculate the height of the water tank.
A
60m
B
30 3m
C
20 3m
D
10 3m
30
the derivative of cosec x is
A
tan x cosec x
B
-cot x cosec x
C
tan x sec x
D
-cot x sec x
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