21
32.
Find the equation of the perpendicular at
point (4, 3) to the line y + 2x = 5.
A. 2y
-
x = 4
B. y + 2x = 3
C. y + 2x = 5
D.
2y
-
x = 2
33.
Find the coordinates of the midpoint of the
line joining (3,
-
4) and (
-
1, 10).
A. (1, 3) B. (1, 2) C. (2, 3) D. (3, 2)
34.
If sin
.
=
-
2
1
for 0 <
.
< 360
0
, the value of
.
is
A. 30
0
and 150
0
B. 150
0
and 210
0
C. 210
0
and 330
0
D. 150
0
and 330
0
35.
44
0
R
S
N
O
From the diagram above, find the bearing of
R
from
S
.
A. 226
0
B. 224
0
C. 136
0
D. 134
0
36.
If y = (1
-
2x)
3
, find the value of
dx
dy
at x
=
-
1.
A. 57 B. 27 C.
–
6 D.
–
54
37.
Find the derivative of
y = sin(2x
3
+ 3x
-
4).
A. cos (2x
3
+ 3x
-
4)
B.
–
cos ((2x
3
+ 3x
-
4)
C. (6x
2
+ 3) cos (2x
3
+ 3x
-
4)
D.
–
(6x
2
+ 3) cos (2x
3
+ 3x
-
4)
38.
The radius r of a circular disc is increasing at
the rate of 0.5cm/sec. At what rate is the
area of the disc increasing when its radius is
6cm.
A. 36
.
cm
2
/sec
B. 18
.
cm
2
/sec
C.
6
.
cm
2
/sec
D. 3
.
cm
2
/sec
39.
The maximum value of the function
f(x) = 2 + x
-
x
2
is
A.
4
9
B.
4
7
C.
2
3
D.
2
1
40.
Find the area of the figure bounded
by the
given pair of curves y = x
2
–
x + 3 and y = 3
A.
6
17
units (sq)
B.
6
7
units (sq)
C.
6
5
units (sq)
D.
6
1
units (sq)
41.
Evaluate
.
2
0
2
sin
.
xdx
A. 1 B. 0 C.
–
1
/
2
D.
–
1
42.
12
10
8
6
4
2
0
N
The histogram above shows the distribution
of the monthly incomes of the workers in a
company. How many workers earn more
than #700.00.
A. 16 B. 17 C. 8 D.
6
43.
80
0
120
0
The grades of 36 students in a test are
shown in the pie chart above. How many
students had ‘excellent’.
A. 7 B. 8 C. 9 D. 12
44
Score
1
2
3
4
5
6
No. of
students
1
4
5
6
x
2
The table above shows the
scores of a
group of students in a test. If the average
score is 3.5, find the value of x.