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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 2
If x
3
+ ax
2
- a
2
x - a
3
is divided by x + a, then the remainder is
Choose an answer
0
a
3
2a
3
-2a
3
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Question # 3
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Associative law of multiplication
Commutative law of addition
Commutative law of multiplication
Associative law of addition
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Question # 4
The mid point of the line segment joining the points A(-8,3) and B(2,-1) is
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(-3,1)
(-6,2)
(5,2)
(-5,2)
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Question # 5
The set {x|x∈N∧x-4=0} in tabular form is
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{-4}
{0}
{}
None of these
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Question # 6
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A
B
U
None of these
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Question # 7
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 # 8
If f(x) = -x
3
then f(-2) is
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-2
-4
-8
8
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Question # 9
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Question # 10
The sum of coefficients in the binomial expansion equals to
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2
2
n+1
2
n-1
2
n
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Question # 11
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Question # 12
(0.90)
1/2
is equal to
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0.99
0.90
0.80
0.88
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Question # 13
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 14
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally
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Question # 15
The process of finding a function whose derivative is given is called a
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Differentiation
Integration
Differential
None
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Question # 16
The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at
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(acos a,asin a)
(a,0)
(cos a,sin a)
(0,0)
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Question # 17
If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 18
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A
A'
U
None of these
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Question # 19
The additive inverse of a matrix A is
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None of these
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Question # 20
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0
1
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Question # 21
If f(x) = x
3
- 2x
2
+ 4x -1 then f(0) is
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0
1
-1
none of these
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Question # 22
θ and 2kπ+θ are the ________ angles
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Quadrantal angles
Coterminal
Allied
None
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Question # 23
An expression involving any of the symbols <,>,
<
or
>
is called
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equation
inequality
linear equation
identity
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Question # 24
If cos
α
= 4/5, then cos
α
/2
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Question # 25
The distance between the points (0 , 0) and (2, 1) is
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5
0
3
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Question # 26
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Question # 27
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Question # 28
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Question # 29
The distance of a moving particle at any instant t is x = 3t2 +1 then velocity of particle at t = 10 is
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50 cm/sec
60 cm/sec
61 cm/sec
None of these
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Question # 30
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0
1
-1
2
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Question # 31
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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