1995 - JAMB Mathematics Past Questions and Answers - page 3
22
Find the sum to infinity of the following sequence 1. , 2. ( ), 3. ( )
A
B
C
D
10
correct option: d
Users' Answers & Comments23
A
1
B
2
C
3
D
4
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
correct option: b
Users' Answers & Comments26
Find the distance between two towns p(45o N, 30oW) and Q(15oS, 30oW) if the radius of the earth is 7000km. [ ]
A
B
C
D
correct option: c
Users' Answers & Comments27
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
correct option: d
Users' Answers & Comments28
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
correct option: b
< PYU = < YPQ = 40(Alternative) = PQ(\parallel)UV
< XPQ = < YPQ = 40 o, Since QX = Qy
therefore < XPY = 80 o
Users' Answers & Comments29
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 m
C
20 m
D
10 m
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
correct option: b
Users' Answers & Comments