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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 4
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 5
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sin 2x + c
-sin 2x + c
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Question # 6
What is the axis of the parabola y
2
= 4ax?
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x = 0
y = 0
x = a
y = 0
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Question # 7
Ifᵨ> 1 , then the conic, is:
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Ellipse
Parabola
Hyperbola
None of these
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Question # 8
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Question # 9
Range of 2 tan x is ______
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[-2, 2]
-1 < x < 1
R
None of these
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Question # 10
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Question # 11
If circumference of circle is divided into 360 congruent parts the angle subtended by one part at the centre of circle is
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1 degree
1 second
1 minute
1 radian
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Question # 12
The first three terms in the expansion of (1 - x)
-2
are
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 - 2x +3x
2
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Question # 13
We solve the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a,b and c
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Question # 14
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none of these
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Question # 15
The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3
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5,3
5,-3
5,0
10,0
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Question # 16
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-10
10/7
-10/7
-7/10
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Question # 17
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3
6
0
None of these
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Question # 18
The sum of the focal distance from any point on the ellipse 9x2 +16y2 =144 is
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32
16
18
8
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Question # 19
sin(a + β)+sin(a -β) =_____;
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2cosa cosβ
2sina cosβ
2cosa sinβ
-2sina sinβ
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Question # 20
a + x is ______
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A trinomial
A binomial
A monomial
None of these
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Question # 21
When we expand (a + 2b)
5
then
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a
5
+ 10a
4
b + 40a
3
b
2
+ 80a
2
b
3
+ 80ab
4
+ 32b
5
a
5
+ a
4
b + a
3
b
2
+ a
2
b
3
+ ab
4
+ b
5
5a
5
+ 4a
4
b + 3a
3
b
2
+ 2a
2
b
3
+ 1 ab
4
+ b
5
None
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Question # 22
Sin 270° = ______
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-1
0
1
Undefined
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Question # 23
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Question # 24
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-2x
3
2x
-3
-2x
-3
2x
3
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Question # 25
The number of subsets of a set having three elements is
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4
6
8
none of these
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Question # 26
The angle of elevation of the top of a tree from a point 17 meters from is foot is 42
𝜊
The height of the tree is
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12m
21m
17m
15m
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Question # 27
The centroid of a triangle divides each median in the ratio
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2 : 1
3 : 1
3 : 2
1 : 1
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Question # 28
In (x + iy), y is called as
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Imaginary part
Complex number
Real part
None of above
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Question # 29
Period of sec x is ______
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Question # 30
The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by
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Question # 31
f(x) = 1 is
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identity function
constant function
linear function
quadratic function
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