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Math 12 Chapter 4
Introduction to Analytic Geometry
Test - 4
1.
Distance of points (0,4) from the line x + y + 4 = 0 is:
a) 4/
Ö
2
b) 4
Ö
2
c) 8
d) a
1
/a
2
= b
1
/b
2
2.
If the points P (x
1
,y
1
), Q(x
2
,y
2
) and R(x
3
,y
3
) are collinear then the area of the triangular region must be:
a) Positive
b) Zero
c) Negative
d) Unity
3.
Determine whether the point (-7,6) is above, below or lie on the line 3x - 5y + 8 = 0:
a) On the line
b) Above
c) Below
d) None of them
4.
The point dividing A (-6,3) and B (5,-2) in the ratio 2:3 internally has coordinates:
a) -a/b
b) (-1/5, 1/5)
c) (-28,13)
d) (-8/5,1)
5.
Slope of a line ax + by + c = 0 is:
a) tan θ = m
2
-m
1
/1+m
1
m
2
b) c/a
c) -a/b
d) b/a
6.
Distance between the two parallel lines 2x + y + 2 = 0 and 6x + 3y - 8 = 0 is:
a) (-8/5,1)
b) 14/
Ö
3
c) 8/
Ö
45
d) 14/3
Ö
5
7.
Distance between the two given points A(3,1), B(-2,-4) is:
a)
Ö
10
b)
Ö
58
c)
Ö
2
d) 5
Ö
2
8.
Two non-parallel and coplanar lines a
1
x + b
1
y + c
1
= 0, a
2
x + b
2
y + c
2
= 0 intersect only if:
a) a1a2 - b1b2
¹
1
b) a
1
a
2
- b
1
b
2
= 0
c) a
1
a
2
- b
1
b
2
= 1
d) a1b2 - a2b1
¹
0
9.
Two line l1 : a
1
x + b
1
y + c
1
= 0 and l
2
: a
2
x + b
2
y + c
2
= 0 are perpendicular if:
a) a
1
b
2
- a
2
b
1
= 0
b) a
1
b
2
+ a
2
b
1
= 0
c) a
1
a
2
+ b
1
b
2
= 0
d) a
1
b
1
+ a
2
b
2
= 0
10.
Two st. lines a
1
x + b
1
y + c
1
= 0, a
2
x + b
2
y + c
2
= 0 are parallel if:
a) a
1
a
2
= b
1
b
2
b) a
1
/c
1
= a
2
/c
2
c) a
1
/a
2
= b
1
/b
2
d) a
1
a
2
+ b
1
b
2
= 0
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