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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
probability of a certain event is
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0
-1
1
∞
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Question # 3
System of linear equations is inconsistent if
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System has no solution
System has one solution
System has two solution
None of above
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Question # 4
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2x + 3
x
2
+ 3 + c
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Question # 5
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Question # 6
The set {1,2,3,4......} is called
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Set of natural numbers
Set of whole numbers
Set of rational number
Set of irrational numbers
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Question # 7
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 # 8
Every real number is
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a positive integer
a rational number
a negative integer
a complex number
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Question # 9
A class contains nine boys and three girls, in how many ways can the teacher choose a committee of four?
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460
495
272
60
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Question # 10
tan (-135°) = ______
θ
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0
1
2
3
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Question # 11
The period of the trigonometric function y = sin x cos x is
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2π
π
4π
π / 2
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Question # 12
The perpendicular bisector of any chord of a circle
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Passes through the centre of the circle
Does not pass through the centre of the circle
May or may not pass through the centre of the circle
None of these
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Question # 13
If a > 0 they parabola y2 =-4ax lies in
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I and iv quadrant
I quadrant
II and III quadrant
All are incorrect
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Question # 14
xy= 2 is:
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a constant function
an identity function
an improper function
implicit function
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Question # 15
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Question # 16
One minute is denoted by
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1
0
1'
1"
None of these
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Question # 17
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Question # 18
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Question # 19
If (2,0) is the vertex and y-axis is directrix of parabola then focus is
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(2,0)
(-2,0)
(4,0)
(-4,0)
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Question # 20
Inverse of the function y-10x is
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y=logx
y=lnx
x=10y
x=10y
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Question # 21
cos (
α
-
β
) = cos
α
cos
β
+ sin
α
sin
β
is true for all
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α
>
β
> 0
α
>
β
β
>
α
None of these
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Question # 22
(0,1) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 5
x -2y < -5
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Question # 23
A circle which touches one side of a triangle extermally and the other two sides produced is called
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In-circle
Circumcircle
e-circle
Point circle
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Question # 24
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1
-1
0
I
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Question # 25
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square root function
identity function
linear function
quadratic function
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Question # 26
If (1+x)
n
=C
0
+ C
1
x +C
2
x
2
+ ......+C
n
x
1
then C
0
C
2
+ C
1
C
3
+ C
2
C
4
+ .....+C
n-2
C
n
=
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Question # 27
Which of the following is the subset of all sets?
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Question # 28
The first three terms in the expansion of (1 + x)
-2
are ______
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 -2x + 3x
2
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Question # 29
The period of tan x/7 is
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3π
7π
15π
5π
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Question # 30
The fixed point from which all the points of a circle are equidistant is called the
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chord of the circle
centre of the circle
diameter of the circle
radius of the circle
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Question # 31
The largest possible domain of the function:
y=√(x ) is:
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(0 ,∞)
12
(3 , 12)
( 3 ,∞)
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