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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
The distance between the points (0,0) and (x,y) is
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x
2
+ y
2
x
y
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Question # 3
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Question # 4
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Question # 5
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Question # 6
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Question # 7
Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is
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3 / 17
5 / 17
7 / 17
9 / 17
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Question # 8
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a.b and c
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Question # 9
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Question # 10
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Question # 11
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cos 2x
2 cos 2x
2 sin2x
-2 cos2x
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Question # 12
H.M. between 3 and 7 is
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Question # 13
√11 is
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an irrational number
Rational number
odd number
Negative number
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Question # 14
When rational fraction is separated into partial fractions, the result is
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an identity
A fraction
A partial sum
Improper fraction
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Question # 15
The multiplicative inverse of -3i is
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3i
-3i
-1/3i
1/3 i
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Question # 16
w
29
= ______
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0
1
w
w
2
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Question # 17
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Question # 18
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A
A'
U
None of these
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Question # 19
If the roots of ax
2
+ bx + c =0 are equal in magnitude but opposite in sign, then
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a = 0
b = 0
c = 0
None of these
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Question # 20
Let the equation ax
2
- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be
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(5, 3, 1)
(4, 3, 2)
(5, 5, 1)
(6, 4, 1)
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Question # 21
The equation of the circle with centre (-h, -k) and radius r is
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(x +h)
2
+ (y+k)
2
= r
2
(x +h)
2
+ (y-k)
2
= r
2
(x -h)
2
+ (y+k)
2
= r
2
(x -h)
2
+ (y-k)
2
= r
2
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Question # 22
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Question # 23
6! = ______
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360
720
6.5.4
None of these
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Question # 24
The corner point of the boundary lines, x-2y
2x + y = 2 is:
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(2,6)
(6,2)
(-2,2)
(2,-2)
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Question # 25
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0
1
2
4
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Question # 26
A line joining two distinct points on a parabola is called a ______ of the parabola.
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Chord
Tangent
Lust rectum
directrix
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Question # 27
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Question # 28
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Question # 29
i
2
=
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1
2
-1
0
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Question # 30
In polar form of complex number r =
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Question # 31
The foot of perpendicular from (
α
,
β
,
γ
) only y-axis is
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(
α
, 0, 0)
(0,
β
, 0)
(0, 0,
γ
)
(0, 0, 0)
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