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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If the roots of x
2
+ ax + b = 0 are non-real, then for all real x, x
2
+ ax + b is
Choose an answer
Negative
Positive
Zero
Nothing can be said
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Question # 2
If f(x) = x
2
- x then f(2) is
Choose an answer
4
6
2
0
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Question # 3
cos (
α
-
β
) = cos
α
cos
β
+ sin
α
sin
β
is true for all
Choose an answer
α
>
β
> 0
α
>
β
β
>
α
None of these
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Question # 4
Cos-1(x)=
Choose an answer
cos x
x
tan-1(-x)
Sec-1 (1/x)
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Question # 5
The range of y = sin x is ______
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[1, -1]
[-1, 1]
[0, -1]
[-
∞
+
∞
]
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Question # 6
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 7
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I
14 I
0
None of these
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Question # 8
(n + 2) (n + 1) n= ______
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Question # 9
The nth term of an A.P., is 12-4n. Its common difference is
Choose an answer
8
4
4
16
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Question # 10
If Z
1
= 1 + i, Z
2
= 2+3i, then |Z
2
- Z
1
| = ?
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Question # 11
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Question # 12
Choose an answer
The law of of sines
The law of tangents
The law of consines
None of these
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Question # 13
If either A = 0 or B =0,then Ax2 +By2 +2Gx +2Fy +c =0 represents a
Choose an answer
Circle
Hyperbola
Ellipse
Parabola
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Question # 14
The synthetic division method is only used to divide a polynomial by
Choose an answer
quadratic equation
binomial
linear equation
monomial
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Question # 15
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Question # 16
A function whose domain is a subset of natural numbers is called ______
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Identity function
Sequence
Onto function
Series
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Question # 17
Choose an answer
0
1
-2
10
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Question # 18
G is geometric mean between a and b if a, G, b is
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A.P.
G.P.
H.P.
None of these
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Question # 19
The equation of the circle with centre (h, k) and radius r is
Choose an answer
(x+ h)
2
+ (y+ k)
2
= r
2
(x+ h)
2
+ (y - k)
2
= r
2
(x - h)
2
+ (y+ k)
2
= r
2
(x - h)
2
+ (y - k)
2
= r
2
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Question # 20
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Question # 21
cos(3π/2 +θ) = _____;
Choose an answer
sinθ
cosθ
-sinθ
-cosθ
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Question # 22
The function sine and Cosine have the closed internal as their range
Choose an answer
[1, 0]
[-1, 1]
[0, 1]
[-1, 2]
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Question # 23
The unit vector along y-axis is
Choose an answer
none of these
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Question # 24
The value of x, and y, when (x + iy)
2
= 5 + 4i
Choose an answer
X = 2, y = -1
X = -2, y=1
X = 2, y = -1
X = 2, y = 2
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Question # 25
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
Choose an answer
a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 26
F(x) = x
x
decreases in the interval
Choose an answer
(0, e)
(0, 1)
(-
∞
,0)
None
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Question # 27
Choose an answer
Conclusion
Implication
Antecedent
Hypothesis
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Question # 28
If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____
Choose an answer
12
8
24
-24
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Question # 29
Let S
n
denote the sum of the first n terms of an A.P. If S
2n
= 3 S
n
: S
n
is equal to
Choose an answer
4
6
8
10
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Question # 30
Choose an answer
cos 3x + c
- cos 3x + c
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Question # 31
Choose an answer
-1
0
1
undefined
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