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Math 12 Chapter 4
Introduction to Analytic Geometry
Test - 9
1.
The general equation ax + by + c = 0 is called homogeneous equation of the second degree in two variables x,y.
a) False
b) True
2.
If the matrix * * * is singular then the lines are concurrent
a) False
b) True
3.
Equation of a non-vertical straight line passing through two points P (x
1
, y
1
), Q (x
2
, y
2
) is (y-y
1
) (x
2
-x
1
) = (x-x
1
) (y
2
-y
1
).
a) True
b) False
4.
A pair of lines represented by ax
2
+2hxy+by
2
=0 will be orthogonal if a + b = 0....
a) True
b) False
5.
The distance d from a point (x
1
,y
1
) to the line l:ax+by+c=0 is d =√(x
2
-x
1
)
2
+(y
2
-y
1
)
2
a) False
b) True
6.
Area of trapezoidal region = 1/2(sum of // sides) (distance between // sides)
a) True
b) True
7.
A pair of lines represented by homogeneous second degree equation ax
2
+2hxy+by
2
=0 will be imaginary if h
2
> ab.
a) False
b) True
8.
If the points P (x
1
,y
1
), Q (x
2
,y
2
) and R (x
3
,y
3
) are collinear then
a) True
b) False
9.
A linear equation ax + by + c = 0 in two variables x and y has its matrix form [a b] [x y] = 0
a) False
b) True
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