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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
The two different parts of the hyperbola are called its
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Vertices
Directrices
Nappes
Branches
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Question # 3
We also 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 # 4
If f(x)= x
3
then f(-2) is
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-2
-4
-8
8
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Question # 5
The value of x, and y, when (x + iy)
2
= 5 + 4i
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X = 2, y = 1
X = -2, y = 1
X = 2, y = -1
X = 2, y = 2
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Question # 6
If for the matrix A,A5 = 1,then A-1=
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A2
A3
A
None of above
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Question # 7
Range of 3 cot x is ______
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[-1, 1]
[-3, 3]
R
None of these
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Question # 8
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-2x cos x
2
-2x
2
sin x
2
-x
2
sin x
-2x
2
sin x
2
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Question # 9
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none of these
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Question # 10
A line segment whose end points lie on a circle is called
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the secant of the circle
the arc of the circle
the chord of the circle
the circumference of the circle
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Question # 11
Cos
-1
12/13 =
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tan
-1
3/5
cot
-1
13/12
Sec
-1
13/12
sin
-1
5/13
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Question # 12
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Question # 13
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 # 14
Which one is not defined∀n∈Z+
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-n!
n!
(-n)!
n!+0!=n!+1
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Question # 15
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Question # 16
When a selection of object is made without paying regard to the order of selection, it is called
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Sequence
Series
Combination
Permutation
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Question # 17
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an A.P.
a G.P.
a H.P.
None of these
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Question # 18
If f(x) = x
3
- 2x
2
+ 4x -1 then f(2) is
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7
-16
16
-9
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Question # 19
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Question # 20
The central angle of an arc of a circle whose length is equal to the radius of the circle is called the
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degree
radian
minute
second
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Question # 21
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Question # 22
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110
220
1320
None of these
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Question # 23
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Question # 24
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Question # 25
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Question # 26
If f(x) = tan x then f(0) is
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0
1
1/2
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Question # 27
The set of whole numbers is subset of
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The set on integers
The set of natural numbers
{1, 3, 5, 7, ....}
The set of prime numbers
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Question # 28
If order of A is m x n, then order of A
t
is
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m x m
n x n
m x n
n x m
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Question # 29
Roots of the equation x
2
+ 5x - 1 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 30
(1, 1) is the in the solution of the inequality
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3x + 4y > 3
2x + 3y < 2
4x = 3y > 5
2c - 3y > 2
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Question # 31
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