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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is
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Skew-symmetric
Symmetric
Null
Diagonal
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Question # 2
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A finite set
An infinite set
An empty set
None of these
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Question # 3
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Question # 4
If all members of a sequence are real numbers then it is called
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A.P
Real Sequence
G.P
None of these
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Question # 5
The distance of point P(x,y) from focus in a parabola
y
2
=4ax, is:
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2a
a
x + a
x-a
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Question # 6
Period of tan x is ______
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Question # 7
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Question # 8
If a > b or a < b than a = b is a
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Additive property
Transitive property
Trichotomy property of inequality
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Question # 9
Sine is a periodic function and its period is ______
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π
s
2
π
4
π
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Question # 10
If sin
α
and cos
α
are the roots of the equation px
2
+ qx + r =0, then
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p
2
- q
2
+ 2pr = 0
(p + r)
2
= q
2
- r
2
p
2
+ q
2
- 2pr = 0
(p - r)
2
= q
2
+ r
2
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Question # 11
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-1
0
1
None of these
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Question # 12
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Question # 13
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 # 14
The expression x2 - x + 1 has
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One proper linear factor
No proper linear factor
Two proper linear factors
None of these
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Question # 15
If a tangent line touches the function y = f (x) in more than one point then y = f (x) is
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Periodic
Surjective
Bijective
Injective
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Question # 16
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A rational number
An irrational number
An odd number
A prime number
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Question # 17
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xa
x-1
a
x
x in a
a
x
In a
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Question # 18
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 19
Power set of X i.e P(X)..........under the binary operation of union U
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Forms a group
Does not form a group
Has no identity element
Infinite set although X is infinite
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Question # 20
In an A.P,a +(n-a)d is
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1st term
General term
Last term
None of these
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Question # 21
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Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplication identity
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Question # 22
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Question # 23
Derivative of a w.r.t x is
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0
1
x
x
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Question # 24
A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is
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Question # 25
If A is a set then any subset R of A x A is called
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relation on A
relation on B
relation from A to B
relation from B to A
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Question # 26
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Question # 27
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0
1
1/2
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Question # 28
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I and
I
I quadrants
I
I and
I
I
I quadrants
I
I
I and
I
V
quadrants
none of these
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Question # 29
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Rational fraction
Proper fraction
Improper rational fraction
None of these
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Question # 30
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Question # 31
The set {x +iy / x, y ∈ Q} forms a group under the binary operation of
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Addition
Multiplication
Division
Both addition and multiplication
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