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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at
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(acos a,asin a)
(a,0)
(cos a,sin a)
(0,0)
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Question # 2
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Question # 3
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images
pre-images
constants
none of these
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Question # 4
202.04 is an example of
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Recurring decimals
Non-recurring decimals
Terminating decimals
None of above
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Question # 5
Cos-1(x)=
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cos x
x
tan-1(-x)
Sec-1 (1/x)
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Question # 6
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Question # 7
Distance between A(3, 8), B(5, 6) is
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Question # 8
An infinite sequence has no
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nth term
Last term
Sum
None of these
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Question # 9
The parabola y2 + 2y + x = 0 lie in _____ quadrant.
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First
Second
Third
Fourth
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Question # 10
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Question # 11
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 12
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Question # 13
What is the conjugate of -7 -2i ?
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-7 + 2i
7 +2i
7 -2i
√53
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Question # 14
If Z
1
= 1 + i, Z
2
= 2+3i, then |Z
1
- Z
2
| = ?
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Question # 15
If x = 1/x for x ∈ R then the value of x is
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±1
0
2
4
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Question # 16
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Question # 17
When rational fraction is separated into partial fractions, the result is
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an identity
A fraction
A partial sum
Improper fraction
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Question # 18
0 is a symbol of
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singleton set
Empty set
Equivalent set
Infinite set
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Question # 19
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Commutative law of addition
Associative law of addition
Additive identity
Additive inverse
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Question # 20
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Question # 21
What is the value of cos-1(1/2)?
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π/3
π/4
3π/2
π/6
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Question # 22
The distance of the point (a,b) from y-axis is
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a
b
a + b
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Question # 23
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a sin(ax + b) + c
- a sin(ax + b) + c
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Question # 24
Every whole number is
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A real number
An irrational number
A prime number
A negative integer
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Question # 25
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12
13
14
15
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Question # 26
The cube roots of 8 are
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Question # 27
In triangle ABC, in which b=95, c=34, a =52
𝜊
then the value of a=
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18 cm
18.027 cm
20.7 cm
19 cm
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Question # 28
Which of the vectors have opposite direction?
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Question # 29
If
∀a,b ε R,then a +b ε R is a property
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Closure law of addition
Associative law of addition
Additive inverse
Additive identity
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Question # 30
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 31
If n is any positive integer then n! > n
2
for
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