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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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1
2
3
4
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Question # 2
If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is
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x- y= 5
x+ y+ =5
x+ y= -5
5x +5y =21
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Question # 3
A line joining two distinct points on a parabola is called
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Axis
Directrix
Chord
Tangent
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Question # 4
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 5
If the trace of matrix A is 5, then the trace of the matrix 3A is
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3/5
5/3
8
15
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Question # 6
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Principle of equality of fractions
Rule for product of fractions
Golden rule for fractions
Rule for quotient of fractions
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Question # 7
Range of tan
θ
is
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Set of complex numbers
Set of real numbers
Set of odd numbers
Set of positive integers only
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Question # 8
How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5
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720
600
120
6-5!
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Question # 9
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Question # 10
w
-12
= ______
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0
1
w
w
2
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Question # 11
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Question # 12
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 13
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Question # 14
I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:
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x
2
= 4ay
y
2
= 4ax
y
2
= -4ax
x
2
= 4ax
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Question # 15
(0.90)
1/2
is equal to
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0.99
0.90
0.80
0.88
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Question # 16
Which element is the additive inverse of (a,b) in Complex numbers
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(a,0)
(0,b)
(a,b)
(-a,-b)
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Question # 17
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K/6
2K
3K
6K
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Question # 18
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9
-9
0
1
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Question # 19
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Question # 20
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Question # 21
7
2n
+ 3
n-1
. 2
3n-3
is divisible by
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24
25
9
13
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Question # 22
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Question # 23
Domain of 3 sin x is ______
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[-3, 3]
R
Positive real numbers
None of these
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Question # 24
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1
2
3/2
5/2
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Question # 25
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Question # 26
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 27
The parabola y
2
= x is symmetric about
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x-axis
y-axis
Both x and y-axis
The line y = x
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Question # 28
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0
1
8
∞
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Question # 29
The equation of motion of a stone thrown vertically up wards is s = ut - 4.9t
2
the maximum height attained by it =
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Question # 30
Under multiplication, solution set of is
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Groupoid
Abelian group
Semi group
All of these
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Question # 31
x
2
+ x - 6 = 0 is a conditional equation and it is true for
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2, 3
2, -3
-2, -3
-2, 3
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