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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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real part of z
imaginary part of z
conjugate of z
modulus of z
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Question # 3
The roots of the equation ax
2
+ bx + c = 0 are complex/imaginary if
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b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 4
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2x - 3x + c
x
2
- 3x + c
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Question # 5
sn (2sin-10.8)
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0.56
0.69
-0.16
0.96
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Question # 6
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Question # 7
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Question # 8
The set {-1, 1} is
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Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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Question # 9
A ________ divides the plane into left and right half planes.
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Vertical line
Horizontal line
Non vertical line
Inequality
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Question # 10
______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)
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Leibniz
Newton
Euler
None of these
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Question # 11
There may be ______ feasible solution in the feasible region
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Infinite
Finite
Defined
None of above
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Question # 12
The equation of the tangent at vertex to the parabola is y2 = -8(x -3)
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y=0
x=3
x=1
x=5
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Question # 13
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1
-1
0
I
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Question # 14
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A complex number
A rational number
A natural number
An irrational number
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Question # 15
If 5,7 and 9 are A.Ms between a and b, then a and b is equal to
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2 and 12
1 and 10
3 and 11
-7 and 2
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Question # 16
If s = 2t
3
- 3t
2
+ 15t - 8 is the equation of motion of a particle, then its initial velocity is
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8
15
-6
None
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Question # 17
If the distance of any point on the curve from any of the two lines approaches zero then it is called
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Axis
Directrices
Asymptotes
None
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Question # 18
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(3, 1, -2)
(3, -2, 1)
(2, -1, 3)
(-1, -2, -3)
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Question # 19
an - an-1 will be common difference in an A.P if
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n = 1∀n∈ N
n>1∧n∈N
n∈Z
None of the above
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Question # 20
The complement of set A relative to universal set U is the set
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Question # 21
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all are correct
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Question # 22
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Question # 23
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Question # 24
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10
C
6
10
C
5
10
C
4
None
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Question # 25
The solution set of x
2
- 5x + 6 = 0 is
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{1, 3}
{2, 3}
{1, 2}
None of these
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Question # 26
If A is such that a,A,B are in A.P then A is called
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A.M
Common ratio
Common difference
None of these
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Question # 27
Period of cos x is _____
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Question # 28
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0
1
2
4
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Question # 29
If #n = (n-5)
2
+ 5, then find #3 x #4.
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54
12
4
9
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Question # 30
Sequence also called..............
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Series
Function
progressions
Elements
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Question # 31
The period of the trigonometric function y = sin x cos x is
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2π
π
4π
π / 2
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