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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then
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h=2a
h=a+b
h=ab
h=ac
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Question # 2
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 3
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Question # 4
What is the conjugate of -6 -i
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-6 +i
6 + i
-6 -i
6 -i
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Question # 5
Q∪ Q' =
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Q
Q'
N
R
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Question # 6
If we have a statement "if p then q" then q is called
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Conclusion
Implication
Unknown
Hypothesis
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Question # 7
The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on
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ZOX plane
XOY plane
YOZ plane
None of these
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Question # 8
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Question # 9
The solution set of the equation 4 cos
2
x - 3 + 0 is
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none of these
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Question # 10
In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages
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45
30
25
50
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Question # 11
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
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Question # 12
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Question # 13
i
3
=
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-1
i
-i
1
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Question # 14
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Question # 15
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Question # 16
If sin A = cos A, 0°<A<90° then A is equal to
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1
1/2
0
None of these
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Question # 17
The line through the focus and perpendicular to the directrix is called ______ of the parabola
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axis
focal chord
tangent
latus rectum
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Question # 18
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Question # 19
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Question # 20
5x
3
+ 3x - is a ______
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Polynomial of degree 3
Polynomial of degree 2
Polynomial of degree 1
Polynomial of degree 0
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Question # 21
Domain of sin x is ______
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Question # 22
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Question # 23
The constant distance of all points of the circle from its centre is called the
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Radius of the circle
Secant of the circle
Chord of the circle
Diameter of the circle
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Question # 24
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2s
2
2s
3
s
3
3s
3
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Question # 25
Which of the following is the definition of singleton
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The objects in a set
A set having no element
A set having no subset
None of these
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Question # 26
22.5°=______
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Question # 27
If f(x) = x
2
then f(2) is
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-2
2
4
-4
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Question # 28
The line through the centre and perpendicular to the transverse axis is called the
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Major axis
Minor axis
Focal axis
Conjugate axis
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Question # 29
If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is
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x- y= 5
x+ y+ =5
x+ y= -5
5x +5y =21
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Question # 30
∫x sin xdx is equal to:
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sin x/x + cos x
sin x - cos x/x
x cos x + sin x
- x cos x + sin x
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Question # 31
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