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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Two sets A and B are said to be disjoint if
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Question # 2
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Question # 3
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Question # 4
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0
1
-1
None of these
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Question # 5
Minor of an element a
ij
is denoted by
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M
ij
A
ij
|A|
None of these
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Question # 6
cos(a +β)-cos(a-β) = _______;
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2cosa cosβ
2sina cosβ
-25 in a cosβ
-2sin a sinβ
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Question # 7
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sin 2x + c
-sin 2x + c
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Question # 8
In any triangle ABC,with usual notationαsinβ =____;
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b sinα
bsinβ
αsinα
None of these
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Question # 9
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Question # 10
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Question # 11
If f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to
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n!
ann!
0
an
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Question # 12
The set of points {(x,y)|y = f(x),∀x∈} is called
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Relation
Graph of f
Function
All are correct
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Question # 13
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Question # 14
An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =
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1 / 11
2 / 11
3 / 11
6 / 11
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Question # 15
The distance of point P(x,y) from focus in a parabola
y
2
=4ax, is:
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2a
a
x + a
x-a
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Question # 16
A and B be two square matrices and if their inverse exist, the (AB)
-1
=
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A
-1
B
-1
AB
-1
A
-1
B
B
-1
A
-1
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Question # 17
The constant distance of all points of the circle from its centre is called the
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radius of the circle
secant of the circle
chord of the circle
diameter of the circle
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Question # 18
If you are looking a high point from the ground, then the angle formed is
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Angle of elevation
Angle of depression
Right angle
Horizon
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Question # 19
Roots of the equation 2x
2
- 7x + 3 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 20
The line y = 2 x + c is a tangent to the parabola y
2
= 16 x if c equals
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-2
-1
0
2
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Question # 21
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1
0
5
2
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Question # 22
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Question # 23
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 24
Which of the following has the same value as i
113
?
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i
-1
-i
1
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Question # 25
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Question # 26
sec h x = ________
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Question # 27
sin (sin
-1
(1/2))=
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0
2
∞
1/2
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Question # 28
The roots of the equation will be irrational if b
2
- 4ac is
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Positive and perfect square
Positive but not a perfect square
Negative
Zero
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Question # 29
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 # 30
The Principal value of sin-1 (-1/1/2)
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π/2
-π/2
π
-π
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Question # 31
The function f(x) =|x| is a/an_______function
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Even
Odd
Both even as well as odd
Neither even nor odd
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