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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 2
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 3
Arithmetic mean between a and b is
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Question # 4
The slope of the normal at the point (at
2
, 2at) of the parabola y
2
= 4ax is
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1/t
t
-t
-1/t
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Question # 5
Associative law of multiplication
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ab = ba
a(bc) = (ab) c
a(b+c) = ab + ac
(a + b)c = ac + bc
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Question # 6
The difference of two consecutive terms of an A.P is called the
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Common difference
Common ratio
Geometric series
Geometric mean
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Question # 7
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0
-1
1
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Question # 8
G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are
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2,2,2
3,3,3
2,2,4
2,3,4
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Question # 9
(x + 2)
2
= x
2
+ 4x + 4 is
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A linear equation
A cubic equation
A quadratic equation
None
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Question # 10
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3
1
4
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Question # 11
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Question # 12
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Question # 13
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Question # 14
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Question # 15
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Question # 16
An equation which holds good for all values of variables is called
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Equation
Conditional equation
Constant
None
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Question # 17
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 # 18
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cos 3x + c
- cos 3x + c
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Question # 19
A sequence whose reciprocal is an A.P is called
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Oscillator
H.P
G.P
None of these
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Question # 20
Write the first four terms of the sequence if a
n
= (-1)
n
n
2
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-1, 4, -9, 16
1, -4, 9, 16
1, 4, 9, 16
None of these
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Question # 21
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A finite non-empty set
Null set
Both a and b
None of these
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Question # 22
The set of positive integers, 0 and negative integers is known as the set of
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Natural numbers
Rational numbers
All integers
Irrational numbers
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Question # 23
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x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 24
Which element is the additive inverse of (a, b) in Complex numbers?
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(a, 0)
(0, b)
(a, b)
(-a, -b)
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Question # 25
The formula an = arn-1represents
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nth term of G.P
Sum of the first n terms
G.M between a and b
None of these
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Question # 26
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Question # 27
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Question # 28
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Polynomial of degree 0
Polynomial of degree 1
Polynomial of degree 2
Polynomial of degree n
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Question # 29
√-1 b=
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b
2
2b
None of these
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Question # 30
A,G,H are in
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A.P
G.P
H.P
None of these
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Question # 31
Fundamental law is
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