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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
A(
α
) - A(
β
)
A(
α
) + A(
β
)
A(
α
-
β
)
A(
α
+
β
)
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Question # 2
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Singleton set
A set with two points
Empty set
None of these
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Question # 3
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6
360
120
24
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Question # 4
The largest possible domain of the function:
y=√(x ) is:
Choose an answer
(0 ,∞)
12
(3 , 12)
( 3 ,∞)
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Question # 5
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Question # 6
cos
-1
(cos x) =
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x
cos x
x = 1/x
cos
-2
x
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Question # 7
Identity w.r.t intersection in a power set of any set is
Choose an answer
∅
Set itself
Singleton set
{0}
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Question # 8
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-1
0
1
undefined
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Question # 9
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0
1
-1
None
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Question # 10
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 11
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Question # 12
A fraction in which the degree of the numerator is less than the degree of the denominator is called
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Polynomial
Equation
Proper fraction
Improper fraction
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Question # 13
If n is not natural number, then the expansion (1 + x)
n
is valid for
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Question # 14
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 # 15
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Question # 16
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Question # 17
Find a if 1 is a root of the equation x
2
+ ax + 2 = 0
Choose an answer
3
-3
2
0
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Question # 18
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Question # 19
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Question # 20
The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is
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θ = 30°
θ = 45°
θ = 60°
θ = 75°
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Question # 21
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Question # 22
If z=(x,y) then z has no multiplicative inverse when
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x ≠ 0, y = 0
x = 0, y = 0
x = 0, y ≠ 0
None of these
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Question # 23
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Multiplication property
Additive property
Trichotomy property
Transitive property of inequality
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Question # 24
A fraction in which the degree of the numerator is less the degree of the denominator is called
Choose an answer
Polynomial
Proper fraction
Rational fraction
None
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Question # 25
The period of the trigonometric function y = sin x cos x is
Choose an answer
2π
π
4π
π / 2
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Question # 26
The sides of a right angled triangle are in A.P The ratio of sides is
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1:2:3
3:4:5
2:3:4
5:8:3
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Question # 27
The range of function f(x)=-x2+2x-1 is
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R
(-∞,0]
(-∞,1]
[0,∞)
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Question # 28
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 # 29
If Z
1
= 1+ i, Z
2
= 2+3i , then |Z
1
-Z
2
| =?
Choose an answer
√5
√7
-1-2i
√3
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Question # 30
The coefficient of xn in the expansion of (1-2x)-1 is
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(-1)n2n
2n
(-1)(n+1)xr
(n+1)2n
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Question # 31
The area of circle of unit radius =
Choose an answer
0
1
4
π
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