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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Which is an explicit function
Choose an answer
y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 2
1+3x+6x2 +10x3 +....=
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(1+x)-3
(1-x)-2
(1-x)-3
(1+x)-2
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Question # 3
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 # 4
If A is a non-singular matrix then adj A is
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Non-singular
Symmetric
Singular
Non defined
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Question # 5
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a, b and c
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Question # 6
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Question # 7
24 can be written as a product of
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Odd factors
Even factors
Whole factors
Prime factors
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Question # 8
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I quadrant
II quadrant
III quadrant
IV quadrant
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Question # 9
Domain of sec
θ
is
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Question # 10
The exact value of cos-1 (0) is
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π/2
-π/2
3π
π-π/6
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Question # 11
Cos (
α
+
β
) - cos (
α
-
β
) =
Choose an answer
-2 sin
α
sin
β
2 sin
α
cos
β
-2 sin
α
cos
α
4 sin
α
cos
β
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Question # 12
The point where the axis meets the parabola is called
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Directrix
Foucu
Chord
Vertix
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Question # 13
Choose an answer
Principle of equality of fractions
Rule for product of fraction
Rule for quotient of fraction
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Question # 14
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Question # 15
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0
-1
1
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Question # 16
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5x
4 + c
1/6 x
6
+ c
5x
2
+ c
1/5 x
6
+ c
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Question # 17
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 # 18
Period of Cotangent function is
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π
-π
0
-2π
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Question # 19
The range of the function f : x→ y is defined by
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{x| y = f (x) ∀x∈ X ∧y∈y}
{(x,y) |y = f (x)∀x∈ X}
{y|y = f (x) ∀x∈ X ∧y∈y}
Y
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Question # 20
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0
1
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Question # 21
If the sum of even coefficients in the expansion of (1+x)n is 128 then
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n=7
n=9
n=8
None
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Question # 22
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Question # 23
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Question # 24
With usual notations b2 = a2 + c2 -2ac cos is called______;
Choose an answer
None of these
Law of sines
Law of consines
Law of tangents
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Question # 25
The line through the centre and perpendicular to the transverse axis is called the
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Major axis
Minor axis
Focal axis
Conjugate axis
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Question # 26
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 27
The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is
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1/5
1/4
1/3
1/2
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Question # 28
Choose an answer
1
7
4
None of these
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Question # 29
The parabola y
2
= x is symmetric about
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x-axis
y-axis
Both x and y-axis
The line y = x
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Question # 30
The total number of subsets that can be formed out of the set {a, b, c} is
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1
4
8
12
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Question # 31
The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are
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