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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Rational
Irrational
Even
Odd
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Question # 2
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Question # 3
If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is
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α
c
b
d
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Question # 4
The additive inverse of a matrix A is
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None of these
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Question # 5
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 6
If #n = (n-5)
2
+ 5, then find #3 x #4.
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54
12
4
9
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Question # 7
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 # 8
Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0
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Touch externally
Touch internally
Intersects each other
Do not intersects
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Question # 9
The function whose range consists of just one element is called
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One-One Function
Identity Function
Onto Function
Constant Function
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Question # 10
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Question # 11
Through how many radians does the minute hand of a clock turn in one hour
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Question # 12
The eccentricity e of an ellipse is always
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Rational
Real
Irrational
Integer
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Question # 13
The solution set of sin x + cos x = 0 is
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Question # 14
Domain of cosec x is ______
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Question # 15
If circumference of circle is divided into 360 congruent parts the angle subtended by one part at the centre of circle is
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1 degree
1 second
1 minute
1 radian
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Question # 16
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Question # 17
For every positive integers n 1+5+9+....+ (4n - 3) is
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n(2n - 1)
(2n - 1)
n - 1
n
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Question # 18
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Question # 19
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Question # 20
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Symmetric property
Cancellation property w.r.t. multiplication
Reflexive property
Transitive property
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Question # 21
The set of natural no. is closed under
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multiplication
subtraction
difference
division
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Question # 22
The set {1,-1, i, -i} form a group under
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Addition
Multiplication
Subtraction
None
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Question # 23
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Question # 24
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 # 25
The range of the tangent function is
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all real numbers
-1 ≤ x ≥ 1
natural number
z
+
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Question # 26
To each element of a group there corresponds ______ inverse element
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Two
One
No
Three
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Question # 27
If either A = 0 or B =0,then Ax2 +By2 +2Gx +2Fy +c =0 represents a
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Circle
Hyperbola
Ellipse
Parabola
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Question # 28
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-3
-7
1
0
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Question # 29
The set (Z, +) forms a group
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Forms a group w.r.t. addition
Non commutative group w.r.t. multiplication
Forms a group w.r.t multiplication
Doesn't form a group
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Question # 30
Arithmetic mean between x - 3 and x + 5 is
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x + 1
x + 2
x + 3
x + 4
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Question # 31
If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be
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Hyperbola
Parabolas
Ellipses
None of these
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