12
28.
The locus of a point
P
which moves on one
side only of a straight line
XY
so that
.
XPY
= 90
o
is
A.
an arc of a circle through
X, Y
B.
the perpendicular bisector of
XY
C.
a circle
D.
a semicircle
29.
Which of the
following is the graph of sin
.
for
2
3
2
.
.
.
.
.
.
A. B.
C.
D.
30.
40
0
P
Q
R
S
O
In the diagram above,
PQR
is a straight line
and
PS
is a tangent to the circle
QRS
with
|PS|
=
|SR|
and
.
SPR
= 40
o
. Find
.
PSQ.
A. 20
o
B. 40
o
C. 10
o
D. 30
o
31.
42
0
Q
M
N
P
O
In the diagram above,
O
is the centre of the
circle,
POM
is a diameter and
.
MNQ = 42
o
.
Calculate
.
QMP.
A. 48
o
B. 132
o
C. 138
o
D. 42
o
32.
An aeroplane flies due north from airports
P
to
Q
and then flies due east to
R.
If
Q
is
equidistant from
P
and
R,
find the bearing
of
P
from
R
.
A. 225
o
B. 090
o
C. 270
o
D. 135
o
33.
A triangle has vertices
P
(
-
1, 6),
Q
(
-
3,
-
4) and
R
(1,
-
4).
Find the midpoints of
PQ
and
QR
respectively.
A.
(
-
2, 1) and (0, 1)
B.
(0,
-
2) and (
-
1,
-
4)
C.
(
-
2, 1) and (
-
1,
-
4)
D.
(
-
1, 0) and (
-
1,
-
1)
34.
If
2
.
.
.
.
2
.
, find the maximum value of
f
(
.
) =
.
cos
2
6
4
.
A.
2
1
B. 4 C. 1 D.
3
2
35.
An arc of a circle subtends an angle of 30
o
on the circumference of a circle of radius
21cm. Find the length of the arc.
A. 44 cm
B. 11 cm
C. 66cm
D. 22cm
36.
If
y
= 3 sin (
-
4x),
dx
dy
is
A. 12 sin (
-
4x)
B.
12 cos
(
-
4x)
C. 12x cos (4x)
D.
12x cos (
-
4x)
37.
Determine the maximum value of
y =
3x
2
x
3
.
A. 2 B. 4 C. 6 D. 0
38.
Find the slope of the curve
y = 2x
2
+ 5x
3 at (1,4).
A. 9 B. 7 C. 6 D. 4
39.
E
valuate
.
.
.
.
3
2
2
.
2
dx
x
x
A. 2 B.
3
1
C. 4 D.
3
4
2
-
.
2
.
.
2
3
.
*
*
*
*
1
-
1
2
-
.
2
.
.
2
3
.
*
*
*
*
1
-
1
2
-
.
2
.
.
2
3
.
*
*
*
*
1
-
1
2
-
.
2
.
.
2
3
.
*
*
*
*
1
-
1