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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Conic sections or simply conics are the curves obtained by cutting a right circular cone by
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a line
two lines
a plane
two planes
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Question # 2
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Question # 3
What is the 26th term of the sequence, if its general term is a
n = (-1)
n+1
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2
26
27
1
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Question # 4
The function sine and Cosine have the closed internal as their range
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[1, 0]
[-1, 1]
[0, 1]
[-1, 2]
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Question # 5
For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?
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3a2
2a2
2a
-7a
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Question # 6
IfΔABC is right, law of cosine reduce to
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Law of sine
Law of tangent
Phthogorous theorem
Hero's formula
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Question # 7
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Symmetric property
Cancellation property w.r.t. multiplication
Reflexive property
Transitive property
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Question # 8
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16
None of these
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Question # 9
Which is not included in the domain of cos
-1
x
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0
1
-1
2
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Question # 10
(2 + w) (2 + w
2
) = ______
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1
2
3
0
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Question # 11
For the parabola the line through focus and perpendicular to the directrix is called
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Tangent
Vertex
Axis
None
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Question # 12
3.5+5.4=5.4+3.5 =8.9 this property of addition is called
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additive identity
assoclative property
commulative property
closure property
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Question # 13
A person standing on the bank of a river observes that the angle subtended by a tree of the opposite bank is 60°, when he retreats 40 m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river are
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Question # 14
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 15
Which of the following sets is finite
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The set of natural numbers between 3 and 10
The set of rational numbers between 3 and 10
The set of real numbers between 0 and 1
The set of rational numbers between 0 and 1
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Question # 16
The distance of the point (2, -3) from x-axis is
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-2
-3
2
3
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Question # 17
If y=f(x) is a function then x is called
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dependent variable
independent variable
constant
none of these
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Question # 18
The value of the expression sin
θ
+ cos
θ
lies between
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Question # 19
The range of function f(x)=-x2+2x-1 is
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R
(-∞,0]
(-∞,1]
[0,∞)
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Question # 20
Geometrically, the modulus of a complex number represents its distance from the
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Point (1, 0)
Point (0, 1)
Point (1, 1)
Point (0, 0)
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Question # 21
∀x∈(a,b),f(x) is increasing if
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f′(x) >0
f′(x) <0
f′′(x) >0
f′′(x) =0
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Question # 22
The nth term of a G.P. is
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a
1
r
n
a
1
r
n+1
a
1
r
n-1
a
1
r
-n
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Question # 23
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Question # 24
tan h x = _________
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Question # 25
The physical quantity which can be specified by a number alongwith unit is called a
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scalar
vector
constant
none of these
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Question # 26
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Question # 27
The graph of y < 2 is the
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Left half plane
upper half plane
Right half plane
Lower half plane
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Question # 28
The total cost of 2 apples and 3 oranges is $1.70, which of the following is true
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The cost of one apple
The cost of one orange
Both have equal cost per item
Cost of each single item can not be determined
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Question # 29
A relation in which the equality is true for all values of the unknown is called ______
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An identity
An equation
A polynomial
None of these
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Question # 30
The period sin
2
θ
is
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π
2
π
2
π
π/2
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Question # 31
The transpose of a zero matrix is a ______
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Column matrix
Zero matrix
Row matrix
Scalar matrix
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