1995 - JAMB Mathematics Past Questions and Answers - page 3
21
If a \(\ast\) b = + \(\sqrt{ab}\), evaluate 2 \(\ast\)(12 \(\ast\) 27)
A
12
B
9
C
6
D
2
correct option: c
Users' Answers & Comments22
Find the sum to infinity of the following sequence 1. \(\frac{9}{10}\), 2. (\(\frac{9}{10}\)), 3. (\(\frac{9}{10}\))
A
\(\frac{1}{10}\)
B
\(\frac{9}{10}\)
C
\(\frac{10}{9}\)
D
10
correct option: d
Users' Answers & Comments23
\(\begin{vmatrix} -2 & 1 & 1 \ 2 & 1 & k \1 & 3 & -1 \end{vmatrix}\) = 23
A
1
B
2
C
3
D
4
24
If x = \(\begin{pmatrix} 1 & 2 \ 0 & 3 \end{pmatrix}\) and y = \(\begin{pmatrix} 2 & 1 \ 4 & 3 \end{pmatrix}\). Find xy.
A
\(\begin{pmatrix} 10 & 7 \ 12 & 9 \end{pmatrix}\)
B
\(\begin{pmatrix} 2 & 7 \ 4 & 17 \end{pmatrix}\)
C
\(\begin{pmatrix} 10 & 4 \ 4 & 6 \end{pmatrix}\)
D
\(\begin{pmatrix} 4 & 3 \ 10 & 9 \end{pmatrix}\)
correct option: a
Users' Answers & Comments25
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. [\(\pi = \frac{22}{7}\)]
A
\(\frac{1100}{3}\)km
B
\(\frac{2200}{3}\)km
C
\(\frac{22000}{3}\)km
D
\(\frac{1100}{3}\)km
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 & Comments< XPQ = < YPQ = 40 o, Since QX = Qy
therefore < XPY = 80 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 \(\sqrt{3}\)m
C
20 \(\sqrt{3}\)m
D
10 \(\sqrt{3}\)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