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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
The complement of set A relative to universal set U is the set
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{x / x∈ A∧ x∈ U}
{x / x∉ A∧ x ∈ U}
{x / x∈ A and x ∉ U}
A-U
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Question # 3
The equation of the parabola with directirx x = 2 and the axis y = 0 is
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y
2
= 8x
y
2
= -8x
y
2
= 4x
y
2
= -4x
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Question # 4
The principal value of sin
-1
(-1/2)
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π/3
π/4
π/6
-π/6
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Question # 5
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2C
C
3
1
0
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Question # 6
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Question # 7
Domain of cos x is ______
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Question # 8
A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string
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62m
82m
73m
57m
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Question # 9
Sequence also called..............
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Series
Function
progressions
Elements
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Question # 10
E-radius corresponding to < A is
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Question # 11
The distance of the point (a, b) from x-axis is
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a
b
a + b
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Question # 12
i
2
=
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1
2
-1
0
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Question # 13
Tan 3x tan 2x-tan x is equal to
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Tan x tan 2x tan 3x
-tan x tan 2x tan 3x
Tan x tan 2x - tan - tan x tan 3x - tan 2x tan 3x
None of these
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Question # 14
The value of x and y when (x + iy)2 = 5 - 4i
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x = 2, y = -1
x = -2, y = 1
x = 2, y = -i
x = 2, y = 2
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Question # 15
f(x) = C is
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identity function
constant function
linear function
quadratic function
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Question # 16
A point of a solution region where two of its boundary lines intersect, is called
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Boundary
Inequality
Half plane
Vertex
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Question # 17
Period of tan x is ______
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Question # 18
tan(3π/2 +θ)=______;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 19
How many different 5-digit even numbers are possible form digit 1,2,4,6,8
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4 : 4!
4!
5!
4!+4!
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Question # 20
Geometrically, the modulus of a complex number represents its distance from the
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Point (1, 0)
Point (0, 1)
Point (1, 1)
Point (0, 0)
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Question # 21
If there is one-one correspondence between A and B, then we write.
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A = B
A⊆ B
A⊇ B
A ∼ B
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Question # 22
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Rule of quotient of fraction
Golden rule of fraction
Rule for product of fraction
Principle for equality of fraction
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Question # 23
If a
x
= b
y
= c
z
and a, b, c are in G.P. then x, y, z are in
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A.P.
G.P.
H.P.
None of these
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Question # 24
sin 540° =
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0
1
2
3
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Question # 25
The polar form of complex number x ≠ I y =
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r cos θ+ r sin θ
r cos θ+ is sin θ
cos θ+ r sin θ
i cos θ+ i sin θ
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Question # 26
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Question # 27
w
28
+ w
38
= ______
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0
1
w
-1
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Question # 28
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4x + 1
4x
2x
3
none of these
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Question # 29
The proposition S(n) for any n∈ N is only true if k∈ N and
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S(k +1) is true
S(1) is true and S(k+1) is true whenever S (k) is true
S(k+1) is true whenever S (k) is true
S(k) is true
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Question # 30
Archimedes approximate the function by horizontal function and the area under f by the sum of small
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Parallelograms
Squares
Retangles
Polygons
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Question # 31
The equation of the chord of the circle x
2
+ y
2
- 4x = 0 whose mid-point is (1, 0) is
Choose an answer
y = 2
y = 1
x = 2
x = 1
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