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Online Tests
FA Part 2 Mathematics Chapter 4 Test Online MCQs With Answers
Question # 1
The pair of lines of homogeneous second-degree equation ax
2
+ 2hxy + by
2
= 0 are real and coincident, if:
Choose an answer
h
2
< ab
h
2
> ab
h
2
= ab
None of these
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Question # 2
Choose an answer
Parallel lines
Non-parallel lines
Perpendicular lines
Coplanar lines
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Question # 3
The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:
Choose an answer
3x + 2y - 8 = 0
3x - 2y + 8 = 0
3x - 2y - 8 = 0
3x + 2y + 8 = 0
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Question # 4
x = 4 is a line:
Choose an answer
Parallel to x - axis
Parallel to y - axis
Perpendicular to y-axis
None of these
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Question # 5
If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =
Choose an answer
(-3, 9)
(-3, 7)
(-9, 11)
(3, 7)
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Question # 6
Choose an answer
Parallel lines
Perpendicular lines
Non-parallel lines
None of these
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Question # 7
X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:
Choose an answer
-1
1
3
-3
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Question # 8
The coordinate axes divide the plane into------------ equal parts:
Choose an answer
1
2
3
4
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Question # 9
y = -2 is a line:
Choose an answer
Parallel to x-axis
Parallel to y-axis
Perpendicular to x-axis
None of these
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Question # 10
The centroid of a triangle is a point that divides each median in the ratio:
Choose an answer
2 : 1
2 : 3
1 : 3
4 : 3
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Question # 11
Joint equation of y + 2x = 0, y - 3x = 0 is:
Choose an answer
(y+2x)(y-3x) = 0
(y-2x)(y-3x) = 0
(y+2x)(y+3x) = 0
(y-2x)(y+3x) = 0
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Question # 12
ax + by + c = 0, will represent equation of straight line parallel y-axis if:
Choose an answer
a = 0
b = 0
c = 0
a = 0, c = 0
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Question # 13
A quadrilateral having two parallels and two non-parallel sides is called:
Choose an answer
Trapezium
Rectangle
Rhombus
None of these
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Question # 14
Inclination of X-axis or of any line parallel to X-axis is:
Choose an answer
Zero
Undefined
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Question # 15
The symbol | | is used for:
Choose an answer
Parallel lines
Perpendicular lines
Non-parallel lines
None of these
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Question # 16
X-coordinate of any point on Y-axis:
Choose an answer
0
x
y
1
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Question # 17
The point of intersection of internal bisectors of the angles of a triangle is called:
Choose an answer
Centroid
Ortho-centers
Circums-center
In-center
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Question # 18
A pair of lines of homogeneous second degree equation ax
2
+ 2hxy + by
2
= 0 are othogonal, if:
Choose an answer
a - b = 0
a + b = 0
a + b > 0
a - b < 0
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Question # 19
General form of equation of line is:
Choose an answer
ax - by + c = 0
ax + by - c = 0
ax + by + c = 0
ax - by - c = 0
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Question # 20
If the directed distances AP and PB have the opposite signs, i.e; p is beyond AB, then their ratio is negative and P is said to divide AB:
Choose an answer
Internally
May divide
Externally
None of these
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Question # 21
Choose an answer
0
2
1
-1
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Question # 22
Inclination of Y-axis or of any line parallel to Y-axis is:
Choose an answer
Zero
Undefined
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Question # 23
Choose an answer
Line parallel to x-axis
Line parallel to y-axis
Line passing through the origin
Both (a) and (b)
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