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ECAT Mathematics Online Test MCQs With Answers
Question # 1
A square matrix A for which A
t
= -A is called a
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Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 2
Which one is not defined∀n∈Z+
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-n!
n!
(-n)!
n!+0!=n!+1
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Question # 3
The slope of y-axis is
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0
undefined
1
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Question # 4
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Question # 5
An equation which hold good for all values of the variables is called
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Identity
fraction
mixed form
Partial equation
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Question # 6
A disjunction of two statement p and q is true
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p is false
q is false
Both p and q are false
One of p and q is true
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Question # 7
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trigonometric equation
conditional equation
identity
None
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Question # 8
A conjunction of two statement p and q is true only if
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p is true
q is true
Both p and q are true
both p and q are false
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Question # 9
If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is
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ay2 +2by+c=0
ay2+2by+4c=0
ay2+2by+c=0
ay2+by+4c=0
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Question # 10
Which of the following is factor of x11+a11, where n is an odd integer
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x-a
x+a
2x-a
2x+a
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Question # 11
An even function is symmetric about the line
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y = x
x = 0
y = -x
y = 0
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Question # 12
If the sum of co-efficient in the expansion of (a+b)
n
is 4096, then the greatest co-efficient in the expansion is
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1594
792
924
2924
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Question # 13
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Imaginary
Rational
Irrational
Real numbers
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Question # 14
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(3, 1, -2)
(3, -2, 1)
(2, -1, 3)
(-1, -2, -3)
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Question # 15
if f(x) = x
3
-3x
2
+5x -1, then f(-√2)=
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7+7√2
3+3√2
-7-7√2
-3-3√2
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Question # 16
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 17
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Question # 18
A relation in which the equality is true only for some values of the unknown is called
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An identity
An equation
A polynomial
None
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Question # 19
if the value of the sphere, v =4/3πr
2
,
then the which of the following statement is true?
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r is the function of v
v is the function ofπ
π is independent variable
None of these
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Question # 20
(0,0) is in the solution of the inequality
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x + y > 3
x - y > 2
3x + 2y > 5
3x - 2y < 2
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Question # 21
The perpendicular bisector of any chord of a circle
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Passes through the centre of the circle
Does not pass through the centre of the circle
May or may not pass through the centre of the circle
None of these
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Question # 22
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Question # 23
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 24
A function which is to be maximized or minimized is called an
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Explicit function
Implicit function
Objective function
None
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Question # 25
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The law of consines
The law of sines
The law of tangents
None of these
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Question # 26
Sin
-1
(-x)=
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Cos
-1
1/x
- Sin
-1
X
Cot
-1
X
None of these
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Question # 27
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1
-1
0
I
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Question # 28
The equation of the circle witch centre (-3, 5) and radius 7 is
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(x-3)
2
+ (y+5)
2
= 7
2
(x-3)
2
+ (y-5)
2
= 7
2
(x+3)
2
+ (y+5)
2
= 7
2
(x+3)
2
+ (y-5)
2
= 7
2
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Question # 29
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An ellipse
A parabola
A circle
A hyperbola
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Question # 30
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Question # 31
The distance of the point (2.3) from x-axis is
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2
3
5
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