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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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K/6
2K
3K
6K
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Question # 2
Period of cosec x is ______
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Question # 3
202.04 is an example of
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Recurring decimals
Non-recurring decimals
Terminating decimals
None of above
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Question # 4
The angle of elevation of the top of a tree from a point 17 meters from is foot is 42
𝜊
The height of the tree is
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12m
21m
17m
15m
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Question # 5
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π
/ 4
π
/ 6
π
/ 3
2π
/ 3
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Question # 6
The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is
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(√6,1)
(2,3)
(7,-2√6)
(4,-√6)
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Question # 7
Conic sections or simply conics are the curves obtained by cutting a right circular cone by
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a line
two lines
a plane
two planes
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Question # 8
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Question # 9
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
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a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 10
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Question # 11
Area bounded between the curve xy=2 and the lines x=1 and x=2
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ln2 square units
ln√2 square units
ln4 square units
Square units
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Question # 12
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Question # 13
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0
-2
1
4
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Question # 14
Cos-1 (-x) =
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-x
1/x
tan-1 x
π-cos-1 x
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Question # 15
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 16
1.4142135... is ______
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A natural number
A rational number
A prime number
An irrational number
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Question # 17
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 18
n(n - 1) (n - 2) in factorial form is
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Question # 19
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15
15 i
-15 i
-15
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Question # 20
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 # 21
A = B iff
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All elements of A also the elements of B
A and B should be singleton
A and B have the same number of elements
If both have the same element
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Question # 22
(x + 3) (x + 4) = x
2
+ 7x + 12 is ______
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Quadratic equation
Linear equation
Cubic equation
Identity
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Question # 23
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Question # 24
The law of tangents is ______
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Question # 25
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2
-1
8
not defined
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Question # 26
In (x + iy), y is called as
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Imaginary part
Complex number
Real part
None of above
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Question # 27
The A.M. of two numbers is 34 and G.M. is 16, the numbers are
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2 and 64
64 and 3
64 and 4
None of these
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Question # 28
Which of the following is a quadrantal angle
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30°
45°
60°
90°
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Question # 29
Range of tan
θ
is
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Set of complex numbers
Set of real numbers
Set of odd numbers
Set of positive integers only
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Question # 30
The solution set of trigonometric equation contains
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one element
two elements
three elements
Infinite elements
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Question # 31
The mid point of the line segment joining the points (3,-1) and (-3,1) is
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(3,-1)
(0,0)
(2,2)
(4,4)
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