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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
If f(x)= x
3
then f(-2) is
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-2
-4
-8
8
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Question # 3
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 4
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Question # 5
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Question # 6
If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is
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α
c
b
d
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Question # 7
∀ z ∈ C, multipliucative is
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(1,1)
(1,0)
(0,1)
None of these
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Question # 8
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3
6
0
None of these
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Question # 9
ᵨ is a
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variable
Positive constant
Positive variable
Directrix
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Question # 10
If (0,4) and (0,2) are vertex and focus of the parabola respectively, the the equation of the parabola is:
Choose an answer
x
2
= 4y -32
x
2
=8y -32
y
3
= 16 x
x2 + 8y =32
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Question # 11
Minor of an element a
ij
is denoted by
Choose an answer
M
ij
A
ij
|A|
None of these
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Question # 12
3x + 4 = 0 is
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not inequality
equation
identity
inequality
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Question # 13
The product of cube roots of unity is
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Zero
1
-1
None of these
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Question # 14
Roots of the equation x
2
+ 5x - 1 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 15
the latus rectum of the parabola x
3
= -4ay is:
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x = a
y = -a
x = -a
y = 0
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Question # 16
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1
2
3
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Question # 17
Name the property used in 4 + 9 = 9 + 4
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Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 18
The interval in which f(x)=x3-6x2+9x is increasing
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1<x<3
x<1 and x>3
X ≥1 and x ≤ 3
-∞ < x < ∞
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Question # 19
The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is
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(0,0)
(1,1)
(2,2)
(3,3)
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Question # 20
The range of inequality x + 2 > 4 is
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(-1, 2)
(-2, 2)
(1,
∞
)
None
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Question # 21
For all points (x,y) in fourth quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 22
tan (
π
-
θ
) = ______
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- sin
θ
- tan
θ
- cos
θ
- cot
θ
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Question # 23
A right angle is the angle of measure
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90'
60°
60"
90°
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Question # 24
If a, b, c are in AP., a, b, c are in G.P. then A, m
2
b, c are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 25
The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is
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0
1
-1
h
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Question # 26
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1
12
5
29
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Question # 27
(x-1) is a factor of
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2x
3
-3x
2
+9
2x
3
-5x-8
48x
2-
46x-9
x
9
-1
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Question # 28
The unit vector along z-axis is
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none of these
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Question # 29
The solution set of the equation 1 + Cos x = 0 is __________
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none of these
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Question # 30
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 31
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