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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The roots of the equation ax
2
+ bx + c = 0 are real and equal if
Choose an answer
b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 2
r + 3 >5 then which is true
Choose an answer
r + 2 > 4
r + 2 < 4
r + 2 = 4
None
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Question # 3
f(x) = 2
x
+ 3 . 2
2x
+ 5 is
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 4
The two lines y = 2x and x =2y are
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Parallel
Perpendicular
Equally inclined with axes
Congruent
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Question # 5
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Question # 6
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are
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Question # 7
Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is
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Question # 8
The centre fo the circle x
2
+ y
2
+ 12x -10 = 0 is
Choose an answer
(12, -10)
(6, -5)
(-12, 10)
(-6, 5)
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Question # 9
Choose an answer
Does not exist because f is unbounded
Is not attained even though f is bounded
Is equal to 1
Is equal to -1
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Question # 10
Period of cosec x is ______
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Question # 11
Domain of sec
θ
is
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Question # 12
If uv= Projuv then
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Uandvare parallel
vis a unit vector
Uis a unit vector
Both b and c
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Question # 13
We solve the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a,b and c
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Question # 14
Choose an answer
3/4
-3/4
4/3
-4/3
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Question # 15
Inverse of the function y-10x is
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y=logx
y=lnx
x=10y
x=10y
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Question # 16
∀a,b,c∈R and c>0,then
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a>b ⇒ ac < bc
a>b ⇒ ac > bc
a<b ⇒ ac > bc
None of these
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Question # 17
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Question # 18
A set having only one element is called
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An empty set
Universal set
A singleton set
A power set
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Question # 19
The solution of equation x2 + 2 = 0 in the set of real number is
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Infinite set
Singleton set
Null set
None of these
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Question # 20
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none of these
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Question # 21
If Sin A = sin B, cos A = cos B, then the value of A in terms of B is
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Question # 22
The conic is a parabola if
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e < 1
e > 1
e = 1
None of these
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Question # 23
(x-1) is a factor of
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2x
3
-3x
2
+9
2x
3
-5x-8
48x
2-
46x-9
x
9
-1
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Question # 24
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Question # 25
The next term of the sequence 1, 2, 4, 7, 11, ..... is.
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15
16
17
18
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Question # 26
(n + 2) (n + 1) n= ______
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Question # 27
Every natural number is
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A prime number
An irrational number
An integer
An even number
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Question # 28
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Question # 29
Derivative of sin x w.r.t. sin x is
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0
1
sin x
cos x
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Question # 30
Area of the circle with ends of a diameter at (-3,2) and (5,-6)
Choose an answer
128π sq. units
64π sq. units
32π sq.units
None of these
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Question # 31
The set of months in a year beginning with S.
Choose an answer
{September, October, November}
Singleton set
Null set
Empty set
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