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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If c is a constant number and if f is the function defined by the equation f(x) =c for all values of x, then f is differentiable at every x and f is defined by the equation f(x)
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f
1
C
0
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Question # 2
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 # 3
If A = {x/x is a positive integer and 4≤x<23}, then A=
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{1,2,3,4,5,6,7}
{4,5,6...........22}
{1,2,3,.........23}
{1,2,3,4,5}
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Question # 4
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Question # 5
The point of concurrency of the medians of the ΔABC is called its
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Orthocenter
Centriod
Circumcentre
Incentre
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Question # 6
Tan 2
θ=
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Question # 7
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-3 -2i
3 +2i
1 + 2i
1 - 2i
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Question # 8
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Question # 9
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none of these
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Question # 10
√23 is
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A rational number
A irrational number
An even integer
A factor of 36
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Question # 11
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Question # 12
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Question # 13
If Sin A = sin B, cos A = cos B, then the value of A in terms of B is
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Question # 14
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360°
180°
90°
None of these
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Question # 15
If z
1
= 1 + 2i, z
2
= 3 + 4i then
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z
1
> z
2
z
1
= z
2
z
1
< z
2
None of these
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Question # 16
The set of integer is
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Finite group
A group w.r.t addition
A group w.r.t multiplication
Not a group
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Question # 17
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Question # 18
The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is
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x
2
+ y
2
+ z
2
+ 2 ax +2 by + 2cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2cz = 0
x
2
+ y
2
+ z
2
- ax - by - cz = 0
x
2
+ y
2
+ z
2
+ ax + by + cz = 0
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Question # 19
In ladder leaning against a vertical well makes an angle of 24
𝜊
with the wall, Its foot is 5m from the wall, its length is
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5.47m
2m
7m
6.29m
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Question # 20
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Question # 21
If the roots of ax2 + b =0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0,b > 0
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Question # 22
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 # 23
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Question # 24
The product of complex numbers (a,b) and (c,d) is
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(ac, bd)
(ac-bd, ad+bc)
(ab,cd)
(ac+bd,ad-bc)
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Question # 25
√25 is a number
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Rational
Irrational
Natural
Odd
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Question # 26
i
9
=
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i
2
-1
1
i
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Question # 27
What is the period of sin 2x/3 cos 4x=?
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π
2π
π/2
π/3
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Question # 28
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Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 29
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Question # 30
If f(x) = cos x then f(0) is
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0
1
1/2
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Question # 31
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In(x
2
- x + 1)
4
+ c
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