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Online Tests
ICS Part 2 Mathematics Full Book 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
The line l is horizontal if and only if slope is equal to:
Choose an answer
0
1
2
undefined
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Question # 3
Choose an answer
Undefined
3a
2
a
2
0
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Question # 4
The horizontal line x' ox is called:
Choose an answer
x-axis
y-axis
abscissa
ordinate
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Question # 5
Let f(x) = x
2
, real valued function then domain of f is the set of all:
Choose an answer
Real numbers
Integers
Positive numbers
Natural numbers
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Question # 6
Which are the following triples can be direction angles of a single vector:
Choose an answer
45°,45°,60°
30°,45°,60°
45°,60°,60°
30°,30°,30°
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Question # 7
If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:
Choose an answer
x
2
= 4ay
y
2
= 4ax
-x
2
= 4ay
-y
2
= 4ax
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Question # 8
Choose an answer
e
-x
sin x + c
-e
-x
sin x + c
e
-x
cosx + c
-e
-x
sin x + c
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Question # 9
The axis of the parabola y
2
= -4ax is:
Choose an answer
x = a
x = 0
y = a
y = 0
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Question # 10
The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:
Choose an answer
(-2, -2)
(-2, 2)
(2, -1)
(0, 0 )
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Question # 11
If the inclination of a line lies between ]90°, 180°[, then the slope of line is :
Choose an answer
Positive
Negative
Zero
undefined
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Question # 12
If the graph of f is entirely above the x-axis, then the definite integral is _______:
Choose an answer
Positive
Positive or negative
Negative
Positive and negative
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Question # 13
Point of intersection of x + y = 5 & x - y = 3 is:
Choose an answer
(5, 5)
(4, 2)
(4, 1)
(1, 4)
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Question # 14
Distance of the point (-2, 3) from y-axis is:
Choose an answer
-2
2
3
1
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Question # 15
Choose an answer
0
1
2
3
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Question # 16
y = b is a horizontal line parallel to _________:
Choose an answer
x - axis
x - axis may be
y - axis
None of these
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Question # 17
Which one is an identity function ?
Choose an answer
f(x) = g(x)
f (x) = x
f(x) = 1
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Question # 18
Choose an answer
a
2b
b
2a
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Question # 19
If the equation of the parabola is x
2
= 4ay, then opening of the parabola is to _______ of the x-axis:
Choose an answer
Left
Upward
Right
Downward
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Question # 20
If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:
Choose an answer
Parabola
Hyperbola
Ellipse
None of these
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Question # 21
The center of circle x
2
+ y
2
+ 2gx + 2fy + c = 0 is:
Choose an answer
(-g, -f)
(-f, -g)
(0, 0)
(g, f)
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