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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 2
e-radii are denoted by
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η
r2
r3
All of these
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Question # 3
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Question # 4
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Question # 5
sin (
α
+
β
) - sin (
α -
β
) =
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4 cos
α
sin
β
2 cos
α
sin
β
4 cos
α
cos
β
4 sin
α
sin
β
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Question # 6
The distance of the point (2,-3) from y-axis is
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2
-3
1
5
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Question # 7
H.M. between 3 and 7 is
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Question # 8
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Question # 9
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Question # 10
The 5th term of (3a-2b)
-1
is
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77b
2
/a
5
16b
2
/243 a
5
17b
4
/43a
5
25b
3
/43a
5
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Question # 11
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Question # 12
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15
15 i
-15 i
-15
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Question # 13
For all points (x,y) in fourth quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 14
If one root of the equation ix
2
- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is
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-i
2 + i
i
2 - i
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Question # 15
π
is the period of the function
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|sin x| + |sin x|
sin
4
x + cos x
sin (sin x) + sin (cos x)
None of these
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Question # 16
If the elevation of the sun is 30°, then the length of the shadow cast by a tower of 150 ft height is
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Question # 17
The graph of a quadratic function is
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Circle
Straight line
Parabola
Triangle
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Question # 18
If distance between (3,b) and (0,0) is 3 then b = _______
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3
9
0
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Question # 19
Φ
set is the ______ of all sets?
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Subset
Union
Universal
Intersection
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Question # 20
General solution of tan 5
θ
= cot 2
θ
is
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Question # 21
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0
undefined
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Question # 22
Three points whose position vector a,b,c are collinear
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axb +b x c+ c x a = 0
a,b +b,c +c,a =0
a,|a xc| =0
a+b+c =0
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Question # 23
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Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t. to addition
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Question # 24
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Question # 25
What is the axis of the parabola y
2
= 4ax?
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x = 0
y = 0
x = a
y = 0
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Question # 26
The difference of two consecutive terms of an A.P. is called ______
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General term
Common ratio
Common difference
None of these
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Question # 27
The quadratic equation 8 sec2θ - 6 secθ +1 =0 has
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Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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Question # 28
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Question # 29
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1
-1
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Question # 30
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none of these
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Question # 31
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