3
25.
Find
the value of p if the line joining (p, 4)
and (6,
-
2) is perpendicular to the line
joining (2, p) and (
-
1, 3).
A. 4 B. 6 C. 3 D. 0
26.
Find the number of sides of a regular
polygon whose interior angle is twice the
exterior angle
.
A. 6 B. 2 C. 3 D. 8
27.
P(
-
6, 1) and Q(6, 6) are the two ends of the
diameter of a given circle. Calculate the
radius.
A.
6.5 units
B. 13.0 units
C. 3.5 units
D. 7.0 units.
28.
The bearings of P and Q from a common
point N are 020
0
and 300
0
respectively. If P
and Q are also equidistant from N, find the
bearing of P from Q.
A. 040
0
B. 070
0
C. 280
0
D. 320
0
29.
A cylindrical tank has a capacity of 3080m
3
.
What is the depth of the tank if the
diameter of its base is 14m.
A
. 23m B. 25m C. 20m D. 22m
30.
Find the locus of a point which moves such
that its distance from the line y = 4 is a
constant, k.
A. y = k
.
4
B. y = 4
.
k
C. y = 4 + k
D.
y = k
–
4
31.
The chord ST of a circle is equal to the
radius, r, of the circle. Find the length of arc
ST.
A.
3
.
12
.
2
.
6
r
D
r
C
r
B
r
.
.
.
.
32.
T
P
Q
R
S
25
0
75
0
In the figure above, PQR is a straight line
segment, /PQ/ = /QT/. Triangle PQT is an
isosceles triangle, <SRQ is 75
0
and <QPT is
25
0
. Calc
ulate the value of <RST.
A. 45
0
B. 55
0
C. 25
0
D. 50
0
33.
If the gradients of the curve
y = 2kx
2
+ x + 1 at x = 1 is 9, find k.
A. 4 B. 3 C. 2 D. 1
34.
Evaluate
.
.
dx
x
3
2
)
3
2
(
2
A.
k
x
.
.
3
5
)
3
2
(
5
3
B.
k
x
.
.
3
5
)
3
2
(
5
6
C. 2x
–
3 + k
D. 2(2x
–
3) + k.
35.
Differentiate (2x + 5)
2
(x
–
4) with respect to
x.
A.
4(2x + 5)(x
–
4)
B. 4(2x + 5)(4x
–
3)
C.
(2x + 5)(2x
–
13)
D. (2x + 5)(6x
–
11)
36.
Find the area bounded by the curves
y = 4
–
x
2
and y = 2x + 1.
A.
units
sq
B
units
sq
.
20
.
.
20
3
2
3
1
C.
units
sq
D
units
sq
.
10
.
.
10
3
1
3
2
37.
Find the rate of change of the volume, V, of
a sphere with respect to its radius, r, when r
= 1.
A.
12
.
.
.
.
8
.
24
.
4
.
D
C
B
38.
If y = xsinx, find
.
2
.
.
x
when
dx
dy
A.
2
.
1
.
1
.
2
.
.
D
C
B
.
.
39.
Find the dimensions of the rectangle of
greatest area which has a fixed perimeter,
p.
A. Square of sides p
B. Square of sides 2p
C. Square of sides
2
p
D. Square of sides
4
p