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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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 # 3
Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is
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(2, 0)
(3, 0)
(0, 3)
(3, 2)
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Question # 4
[i,j,k]
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0
2
1
-2
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Question # 5
The point of concurrency of the angle bisectors of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 6
The graph of y> 0 is the upper - half of:
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y-axis
x-axis
1st and 4th quandrant
2nd and 3rd quadrant
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Question # 7
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are
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Question # 8
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I quadrant
II quadrant
III quadrant
IV quadrant
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Question # 9
A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______
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f(p)
f(x)
f(o)
None of these
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Question # 10
Let A be a square matrix. Then, 1/2 (A-A') is
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Skew-symmetric
Symmetric
Null
None of the above
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Question # 11
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Question # 12
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1
-1
0
I
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Question # 13
An open sentence formed by using the sign of equality "=" is called
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Equation
In equation
True sentence
False sentence
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Question # 14
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Question # 15
The period of 3 sin x is
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2π
9π
3π
5π
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Question # 16
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Question # 17
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15
15 i
-15 i
-15
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Question # 18
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 19
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a = 4, b = 1
a = 1, b = -4
a = 0, b = 4
a = 2, b = 4
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Question # 20
In R, the additive inverse of a is
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0
1
-a
1/a
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Question # 21
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Principle of equality of fractions
Rule for product of fractions
Golden rule of fractions
Rule for quotient of fractions
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Question # 22
f(x) = 3x/x
2
+ 1 is:
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 23
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none of these
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Question # 24
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A parabola
An ellipse
A hyperbola
A circle
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Question # 25
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none of these
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Question # 26
What is the conjugate of -7 -2i?
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-7 + 2i
7 + 2i
7 -2i
None of these
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Question # 27
The roots of the equation will be irrational if b
2
- 4ac is
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Positive and perfect square
Positive but not a perfect square
Negative
Zero
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Question # 28
The point lying on the terminal rat of -270° is
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(1,0)
(0,-1)
(0,1)
(-1,0)
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Question # 29
20. 19. 18. 17= _______
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Question # 30
If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 31
Domain of 1+cot2θ=csc2θ is
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[0,π]
R-{x/x=nπ,n∈ z}
(-∞,+∞)
[-1,1]
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