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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Range of 3 sin x is ______
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[ -3, 3]
[-1, 1]
R
None of these
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Question # 2
sin 2
α
=
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Question # 3
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Question # 4
The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at
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(1,1)
(0,1)
(1,0)
(0,0)
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Question # 5
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 6
The square roots of negative numbers is called
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Real no
Complex no
Positive no
Negative no
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Question # 7
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Question # 8
The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a
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Square
Rhombus
Rectangle
Parallelogram
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Question # 9
A tower subtends an angle
α
at a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower is
β
. The height of the tower is
Choose an answer
b cot
α
tan
β
b tan
α
tan
β
b tan
α
cot
β
None of these
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Question # 10
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Question # 11
graph of trigonometric function y = sec x does not meet
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x - axis
y -axis
both axis
None of these
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Question # 12
A function in which the second elements of the order pairs are distinct is called
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Onto function
One-one function
Identity function
Inverse function
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Question # 13
i
=
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√1
√2
√-2
√-1
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Question # 14
The solution of the quadratic equation x2 -7x + 10=0, is
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2
5
2,5
7
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Question # 15
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cot x + c
tan x + c
-cot x + c
-tan x + c
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Question # 16
8 . 7 . 6. 5 in factorial form is
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Question # 17
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c = 0
c = -1
c = -2
c = 1
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Question # 18
If the roots of ax
2
- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is
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Question # 19
The term independent of x is the expansion (x
3
+1/x)
12
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295
495
395
722
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Question # 20
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4
3
2
1
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Question # 21
If E = { } , then P(E)
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∅
{ }
{(2),(4),(6)....}
(∅)
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Question # 22
The angle between lines xy =0 is
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45°
60°
90°
180°
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Question # 23
Period of Sine and Cosine function is
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π
2
π
-
π
-2
π
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Question # 24
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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 # 25
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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parabola
circle
hyperbola
ellipse
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Question # 26
The corner point of the boundary lines, x- 2x
x+2y=10 is:
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(8,1)
(1,8)
(6,10)
(3,5)
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Question # 27
Cofactor of an element aij denoted by Aij is
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(-2)i+j
Mij
(-1)i+j Mij
None of above
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Question # 28
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Question # 29
If S = {3,6,9,12.......}, then
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S = Four multiples of 3
S = Set of even numbers
S = Set of prime numbers
S = All multiples of 3
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Question # 30
∀x,y∈R and x> 0 , y>0, if x > y
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None of these
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Question # 31
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Improper rational fraction
Rational fraction
Proper rational fraction
None of above
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