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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The area of sector with central angle of 1 radian in a circular region whose radius is 2m is
Choose an answer
0.5m2
2m2
1m2
4m2
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Question # 2
The corner point of the boundary lines, x-2y
2x + y = 2 is:
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(2,6)
(6,2)
(-2,2)
(2,-2)
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Question # 3
The liner equation ax + by = c is called _________ of the inequality ax +by > c.
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Associated equation
Non-associated equation
disjoint equation
Feasible equation
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Question # 4
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a tan(ax + b) + c
- a tan(ax + b) + c
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Question # 5
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Question # 6
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1
0
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Question # 7
The solution of the equation 3 tan
2
x = 1 is ____________
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none of these
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Question # 8
The process of finding the unknown elements in triangle is called the
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solution of the triangle
Mean differnece
Engineering distance
angle of depressin
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Question # 9
Associative law of multiplication
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ab = ba
a(bc) = (ab) c
a(b+c) = ab + ac
(a + b)c = ac + bc
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Question # 10
Domain of cosec
θ
is
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Question # 11
If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a
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Constant function
Variable value
Function of upper limit
All
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Question # 12
For an A.P common difference d
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Can be zero
May or may not zero
Cannot be zero
None of these
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Question # 13
14 is not a
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Prime number
Whole number
Even number
Real number
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Question # 14
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 # 15
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Question # 16
The condition for ax2 + bx c to be expressed as the product of linear polynomials is
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b4 - 4ac =0
b4- 4ac ≥0
b4- 4ac <0
b4= 4ac
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Question # 17
H
1
, H
2
, H
3
, .... H
n
are called n harmonic means between a and b if a, H
1
, H
2
, H
3
, ... H
n
b are in
Choose an answer
H.P.
G.P.
A.P.
None of these
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Question # 18
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Question # 19
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 # 20
The distance of point P(x,y) from focus in a parabola
y
2
=4ax, is:
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2a
a
x + a
x-a
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Question # 21
The value of cos(cos-1 1/2) is
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1/2
√3/2
-1/2
1/√2
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Question # 22
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Question # 23
If y is an image of x under the function f, then we write
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y = f(x)
x = f(y)
y = x
none of these
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Question # 24
The 60th part of one minute is called
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Degree
Second
Radiam
None of these
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Question # 25
The product of the four fourth roots of unity is
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0
1
-1
None of these
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Question # 26
The line 3x - 4y = 0
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Is a tangent to the circle x
2
+ y
2
= 25
Is a normal to the circle x
2
+ y
2
=25
Does not meet the circle x
2
+ y
2
= 25
Does not pass thro' the origin
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Question # 27
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A.P.
G.P.
H.P.
None of these
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Question # 28
The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called
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Constant function
Polynomial function
Identity function
Linear function
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Question # 29
The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are
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Question # 30
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Question # 31
Which of the following has the same value as i
113
?
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i
-1
-i
1
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