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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
(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 # 3
In the expansion of (a + x)
n
the general term T
r + 1
is
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Question # 4
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Question # 5
The equation of the line perpendicular to x- axis and passing through (-5,3) is
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y -3 =0
x+ 3 =0
y- 3 =∞
x +5 =0
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Question # 6
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A
2
- 5A + 7I = 1
2A
2
- 3A + 7I = 0
A
2
- 5A + I = 0
A
2
- 5A + 7I = 0
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Question # 7
Period of tan x is ______
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Question # 8
For all positive integral value of n,3
n
< n! , when
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n> 6
n< 6
n<11
n>11
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Question # 9
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 # 10
(A∩Bc)c= -------------------------
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Ac∪Bc
Ac∪B
Ac∩B
None of these
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Question # 11
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Question # 12
For any equilateral r :R :η :r1 :r2 :r3 =
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1:2:3:4:5
1:2:3:3:3
1:2:4:4:4
2:1 :2 :2 :2
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Question # 13
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none of these
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Question # 14
e-radii are denoted by
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η
r2
r3
All of these
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Question # 15
Domain of cos
θ
is
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Set of odd numbers
Set of integers
Set of real numbers
Set of complex numbers
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Question # 16
IfΔABC is right, law of cosine reduce to
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Law of sine
Law of tangent
Phthogorous theorem
Hero's formula
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Question # 17
If f(√x)=sin x , then f′(x) =______;
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2xcosx2
cosx2
cos√x
None of these
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Question # 18
The set X is
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Proper Subset of X
Not A subset of X
Improper Subset of X
None of these
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Question # 19
Zero is
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An irrational number
A rational number
A negative integer
A positive number
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Question # 20
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none of these
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Question # 21
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Question # 22
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Question # 23
Cos (
α
+
β
) - cos (
α
-
β
) =
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-2 sin
α
sin
β
2 sin
α
cos
β
-2 sin
α
cos
α
4 sin
α
cos
β
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Question # 24
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 25
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4
3
2
1
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Question # 26
If A = {x / x ∈ R ∧ x
2
- 16 = 0} then A =
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- x
Infinite set
Φ
{-4,4}
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Question # 27
Sin 270° = ______
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-1
0
1
Undefined
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Question # 28
Let S
n
denote the sum of the first n terms of an A.P. If S
2n
= 3 S
n
: S
n
is equal to
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4
6
8
10
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Question # 29
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0
3
9
-3
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Question # 30
The vertex of the equation y
2
= 4ax is:
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(2, -2)
(1,1)
(0 , 0)
(2 , 2)
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Question # 31
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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