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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The equation of the circle with centre origin and radius r is
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x
2
+ y
2
= 1
x
2
+ y
2
= r
2
x
2
+ y
2
= 0
x
2
- y
2
= r
2
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Question # 2
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0
1
-2
10
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Question # 3
The ellipse and hyperbola are called
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Concentric conics
Central conics
Both a b
None
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Question # 4
The element range of sequence are called
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Series
progression
Members
Terms
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Question # 5
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Question # 6
(a-1)-1 =
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a-1
a
-a
None of above
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Question # 7
The maximum value of the quadratic function f(x) = 2x2-4x+7,is
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3
5
-3
-5
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Question # 8
Range of sin
θ
is
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Question # 9
Range of cos x is ______
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[-1, 1]
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 10
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Question # 11
x = r2, y = 1 are the parametric equation of
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Circle
Hyperbola
Ellipse
Parabola
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Question # 12
InΔABC if y = 90° then the Pythagoras theorem is
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b2 + c2 =a2
a2 + b2 = c2
a2 +c2 = b2
None of these
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Question # 13
The sum of all 2 digit number is
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4750
3776
4895
4905
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Question # 14
f(x) = 2x
2
+ 3x + 5 is a
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 15
If A = {x / x ∈ R ∧ x
2
- 16 = 0} then A =
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- x
Infinite set
Φ
{-4,4}
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Question # 16
An equation which holds good for all values of variables is called
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Equation
Conditional equation
Constant
None
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Question # 17
The 31 term of the A.P 5,2,-1.....is
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-82
82
85
-85
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Question # 18
If B⊆ A, then complement of B in A is = -----------------------
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A-B
A∩B
B-A
A∪B
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Question # 19
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 # 20
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Question # 21
0 (zero) is
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An irrational number
A rational number
A negative integer
A positive number
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Question # 22
If a,b,c are unit vectors then |a + b|2 +|a - b|2
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4
8ab
9cos
4(a,b)
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Question # 23
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8
4
64
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Question # 24
The equation of the line perpendicular to x- axis and passing through (-5,3) is
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y -3 =0
x+ 3 =0
y- 3 =∞
x +5 =0
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Question # 25
General solution of 1 + cos x = 0 is
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Question # 26
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Question # 27
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2
-3/2
1
0
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Question # 28
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A
A'
U
None of these
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Question # 29
Which of the following statement is true?
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A set is a collection of non-empty object
A set is a collection of only numbers
a set is any collection of things
a set is well-defined collection of objects
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Question # 30
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0
1
2
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Question # 31
To each element of a group there corresponds ............. inverse element
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Two
One
No
Three
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