38
31.
The locus of a point
equidistant from the
intersection of lines
3x
–
7y + 7 = 0 and 4x
–
6y + 1 = 0 is a
A.
line parallel to 7x + 13y + 8 = 0
B.
circle
C.
semicircle
D.
bisector of the line 7x + 13y + 8 = 0
32.
The gradient of the straight line joining the
points P(5,
–
7) and Q(
–
2,
–
3) is
A.
2
1
B.
5
2
C.
7
4
.
D.
3
2
.
33.
The distance between the point (4, 3) and
the intersection of y = 2x + 4 and
y = 7
–
x is
A.
v
13
B.
3
v
12
C.
v
26
D.
10
v
5
34.
Find the equation of the line through the
points (
–
2, 1) and
.
-
.
.
,
4
.
.
A.
y = 2x
–
3
B.
y = 2x + 5
C.
y = 3x
–
2
D.
y = 2x + 1
35.
If angle
.
is 135
o
, evaluate cos
.
.
A.
2
1
B.
5
2
C.
2
2
.
D.
2
1
.
36.
A man stands on a tree 150 cm high sees a
boat at an angle of depression of 74
o
. Find
the distance of the boat from
the base of
the tree.
A.
52cm
B.
43cm
C. 40cm
D. 15cm
37.
If
,
1
2
x
x
y
.
.
find
.
dx
dy
A. 52cm
B. 43 cm
C. 40cm
D. 15cm
38.
Find
dx
dy
if y = cosx.
A.
sin x
B.
–
sin x
C. tan x
D.
–
tan x
39.
Evaluate
.
(
.
.
-
4
.
)
.
.
..
A.
3
11
B.
11
3
C.
11
3
.
D.
3
11
.
40.
Evaluate
.
sec
4
0
2
.
.
.
.
d
A.
1
B.
2
C.
3
D.
4