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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The roots of the equation ax
2
+ bx + c = 0 are complex/imaginary if
Choose an answer
b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 2
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In f(x) + c
f(x) - c
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Question # 3
If the graph of f is entirely below the x-axis, then the value of definite integral is
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= 0
< 0
> 0
None
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Question # 4
Let a
1
, a
2
, a
3
, a
4
and a
5
be such that a
1
, a
2
, and a
3
are in A.P., a
2
, a
3
and a
4
are in G.P and a
3
, a
4
and a
5
are in H.P. Then, a
1
, a
3
and a
5
are in
Choose an answer
G.P.
A.P.
H.P.
None of these
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Question # 5
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0
1
undefined
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Question # 6
The contra positive of p → q is
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q → p
~q→~q
~p→~q
None of these
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Question # 7
The number of standard parabolic functions are is
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4
2
3
1
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Question # 8
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30°
60°
45°
None of these
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Question # 9
The set { 1 , -1} is closed w.r.t.
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Addition
Multiplications
Subtraction
None of these
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Question # 10
If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is
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8, 15, 17
3, 4, 5
12, 15, 18
5, 12, 13
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Question # 11
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Question # 12
The function f{(x, y) | y = ax
2
+ bx + c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 13
An event having more than one sample point is called
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Certain event
Compound event
Simple event
None
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Question # 14
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Question # 15
(ABC)' =
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CBA'
CBA
C' B' A'
None of these
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Question # 16
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Question # 17
The equation of vertical asymptotes of y = cos ecx is
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x = 0
y = 0
x =∞
y =∞
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Question # 18
The set of the first elements of the ordered pairs forming a relation is called its
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Function on B
Range
Domain
A into B
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Question # 19
The minimum value of the quadratic function f(x) = 5 x 2-11,is
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7
-7
6
-11
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Question # 20
A point of a solution regions where two of its boundary lines intersect, is called:
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Vertex of the solution
Feasible point
Point of inequality
Null point of the solution region
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Question # 21
Cos-1(x)=
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cos x
x
tan-1(-x)
Sec-1 (1/x)
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Question # 22
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image
pre-image
constant
none of these
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Question # 23
Geometric mean between a and b is
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Question # 24
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
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Question # 25
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A = x, B = 1
A = 0, B = 2
A = -1, B = 1
A = x-1, B = x + 1
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Question # 26
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An empty set
Universal set
A singleton set
None of these
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Question # 27
The difference of two consecutive terms of an A.P. is called ______
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General term
Common ratio
Common difference
None of these
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Question # 28
The third term of the sequence a
n
= (-1)
n-1
(n-7) is ______
Choose an answer
8
4
-4
8
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Question # 29
For any positive integer n
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ABn = Bn A ⇔ AB = BA
ABn = Bn A⇔ A,B are square matrices and AB = BA
ABn = BnA⇔ A + B
ABn = BnA ⇔ A and B are square matries
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Question # 30
(n + 2) (n + 1) n= ______
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Question # 31
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Principle of equality of fractions
Rule for product of fractions
Golden rule of fractions
Rule for quotient of fractions
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