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Math 12 Chapter 4
Introduction to Analytic Geometry
Test - 6
1.
The acute angle between the lines represented by x
2
- xy - 6y
2
= 0 is:
a) 60
o
b) a + b = 0
c) 75
o
d) 45
o
2.
Two lines 5x + 7y = 35 & 3x - 7y = 21 intersect at:
a) (7,1)
b) y = 5x + 2
c) (2,5)
d) (7,0)
3.
An equation ax
2
+ 2hxy + by
2
= 0 represents two imaginary lines if:
a) ab = 0
b) h2 = ab
c) h
2
# ab
d) h
2
= ab
4.
An equation ax
2
+ 2hxy + by
2
= 0 represents two real and coincident lines if:
a) None of them
b) h2 @ ab
c) h
2
@ ab
d) h2 = ab
5.
Centroid of the triangle whose vertices are A (3,-5), B(-7,4) and C(10,-2) is:
a) (3/2,-3/4)
b) (-2,1)
c) (5,-3/2)
d) (2,-1)
6.
The point (-4,7) lies in:
a) 3rd quadrant
b) 4th quadrant
c) (7,0)
d) 2nd quadrant
7.
An equation of st. line with slope 2 and y-intercept 5 is:
a) y = 2x + 5
b) y - 2x = 5
c) y = 5x + 2
d) y = 2x
8.
An equation ax
2
+ 2hxy + by
2
= 0 represents two real and distinct straight lines if:
a) h
2
# ab
b) h
2
@ ab
c) h = 0
d) h
2
= ab
9.
Two lines represented by ax
2
+ 2hxy + by
2
will be orthogonal if:
a) a = b
b) a = 0
c) b=0
d) a + b = 0
10.
Radius of the circle with A(-5,-2) and B (5,-4) as end points of diameter is:
a)
Ö
26
b) 9/2
c) (1/2)
Ö
26
d) 2
Ö
56
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