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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is
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120°
30°
130°
45°
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Question # 4
The area between the x-axis and the curve y = x
2
+ 1 from x = 1 to 2 is:
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15/6
15/4
10/4
10/3
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Question # 5
cos (
α
-
β
) = cos
α
cos
β
+ sin
α
sin
β
is true for all
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α
>
β
> 0
α
>
β
β
>
α
None of these
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Question # 6
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0
1
-1
None
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Question # 7
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perpendicular vectors
concurrent vectors
parallel vectors
none of these
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Question # 8
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Question # 9
The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is
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x
2
+ y
2
+ z
2
+ ax + by + cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2 cz = 0
x
2
+ y
2
+ z
2
= a + b + c
x
2
+ y
2
+ z
2
- ax - by - cz =0
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Question # 10
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Question # 11
A triangle has six
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side
elements
angle
tangents
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Question # 12
If (a, b) is the mid-point of a chord passing thro' the vertex of the parabola y
2
= 4x, then
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a = 2b
2a = b
a
2
= 2b
2a = b
2
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Question # 13
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Question # 14
i
101
=
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i
i
2
-i
-1
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Question # 15
If a set S contains n elements then P (S) has ........ number of elements
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2
n
2
n2
2.n
n
2
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Question # 16
An open sentences formed by using the sign of equality '=' is called ______
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An identity
An equation
A polynomial
None of these
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Question # 17
The perimeter of a sector of a central angle of measure 1 radian out off an are of length 35cm is
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35 cm
70 cm
140 cm
105 cm
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Question # 18
If n is odd then the middle terms in the expansion of (a + x)
n
are
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Question # 19
f(x) = x
3
is:
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an odd function
an even function
an implicit function
a quadratic funtion
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Question # 20
The direction cosines of a line equally inclined with co-ordinate axes are
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Question # 21
The set (Z,+) forms a group
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Forms a group w.r.t addition
Non commutative group w.r.t multiplication
Forms a group w.r.t multiplication
Doesn't form a group
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Question # 22
The angles with some initial and terminal sides are called
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Quadrantal angles
Coterminal angles
Allied angles
None
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Question # 23
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Question # 24
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 25
A diagonal matrix is always
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Identity
Triangular
Scalar
Non-singular
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Question # 26
The unit vector along x-axis is
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none of these
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Question # 27
The area under the curve y = 1/x
2
between x = 1 and x =4 is:
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-25
0.75
-0.35
-10
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Question # 28
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Question # 29
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2s
2
2s
3
s
3
3s
3
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Question # 30
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Symmetric property
Cancellation property w.r.t. multiplication
Reflexive property
Transitive property
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Question # 31
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