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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C
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1,2
-1,-2
2,-1
-2,1
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Question # 2
If y=sin(ax+b) then y4=________:
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sin4(ax+b)
a4sin(ax+b)
a4cos(ax+b)
None of these
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Question # 3
There is no integer n for which 3
n
is
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Odd
even
Natural
Prime
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Question # 4
The set {0,-1} hold closure property under
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Addition
Both a & c
Multiplication
None of these
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Question # 5
The sum of the squares of three distinct real numbers, which are in G.P., is S
2
. if their sum is
α
S then
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Question # 6
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Question # 7
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0
1
1/2
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Question # 8
Arithmetic mean between 14 and 18 is
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16
17
15
32
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Question # 9
Three right angles is the angle of measure
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270°
180°
90°
270'
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Question # 10
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2 b
2 a
2 ab
a + b
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Question # 11
For Cosine Rule of any triangle ABC, b
2
is equal to
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a
2
- c
2
+ 2ab cos A
a
3
+ c
3
- 3ab cos A
a
2
+ c
2
- 2ac cos B
a
2
- c
2
4bc cos A
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Question # 12
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Question # 13
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Question # 14
(ABC)' =
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CBA'
CBA
C'B'A
C'B'A'
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Question # 15
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12
13
14
15
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Question # 16
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Question # 17
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Scalar matrix
Identity matrix
Null matrix
Symmetric matrix
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Question # 18
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 # 19
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Question # 20
The period of cot 8x is
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π/10
9π/7
π/9
π/8
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Question # 21
The mid point of the line segment joining the points (4,0) and (0,4) is
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(4,4)
(2,2)
(-4,-4)
(-2,-2)
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Question # 22
If n is a negative integer n! is
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1
0
Unique
Not defined
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Question # 23
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5 / 12
3 / 8
5 / 8
7 / 4
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Question # 24
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 25
If the graph of f is entirely below the x-axis, then the value of definite integral is
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= 0
< 0
> 0
None
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Question # 26
If a plane passes through the vertex of a cone then the intersection is
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an ellipse
a hyperbola
a point circle
a parabola
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Question # 27
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Addition
Subtraction
Multiplication
None of these
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Question # 28
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Question # 29
The area bounded by y = x (x2 - 4) and below x - axis is
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4
0
-4
8
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Question # 30
tan(π-θ)=_____;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 31
Tan(
α
-
β
)=
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