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ECAT Mathematics Online Test MCQs With Answers
Question # 1
x =r cosθ,y= sinθ are the parametric equations of
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Circle
Ellipse
Parabola
Hyoerbola
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Question # 2
Range of 3 sin x is ______
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[ -3, 3]
[-1, 1]
R
None of these
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Question # 3
The equation of vertical asymptotes of y = cos ecx is
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x = 0
y = 0
x =∞
y =∞
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Question # 4
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none of these
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Question # 5
The distance of the point (2,3) from y-axis is
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2
3
5
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Question # 6
The number of words that can be formed out of the letters of the word ASSASSINATION is
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Question # 7
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Question # 8
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Question # 9
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15
15 i
-15 i
-15
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Question # 10
The area enclosed between the graph y = x
2
-4x and the x- axis is:
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20/3
41/3
32/3
25/3
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Question # 11
The first three terms in the expansion of (1 - x)
-3
are
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1 + 3x + 6x
2
1 - 3x + 6x
2
-3 - 3x - 6x
2
1 - 3x - 6x
2
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Question # 12
The area of sector with central angle of 1 radian in a circular region whose radius is 2m is
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0.5m2
2m2
1m2
4m2
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Question # 13
Two circles are said to be concentric if they have
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same radius
same chord
same centre
same diameter
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Question # 14
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Biconditional
Implication
Antecedent
Hypothesis
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Question # 15
If a
1
= 3, r = 2, then the nth term of the G.P. is
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2.3
n-1
3.2
n
3.2
n+1
3.2
n-1
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Question # 16
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a cos(ax + b) + c
- a cos(ax + b) + c
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Question # 17
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Question # 18
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Question # 19
If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 20
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 21
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Question # 22
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Question # 23
9. 8. 7. 6= ______
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Question # 24
Which of the following is not a unit vector
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[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
[1, 0, 0]
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Question # 25
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Associate law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 26
Two tangents drawn from (2,3) to the circle x2+y2 =9 are
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Real and distinct
Imaginary
Real and coincident
None of these
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Question # 27
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Question # 28
The centre of the circle x2+y2 -2fx-2gy+x=0 is
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(-g,-f)
(g,f)
(f,g)
(-f,-g)
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Question # 29
If a tangent line touches the function y = f (x) in more than one point then y = f (x) is
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Periodic
Surjective
Bijective
Injective
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Question # 30
1
0
= ______
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360'
60"
60'
3600'
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Question # 31
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