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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The set {Z\{0}} is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 2
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Question # 3
(a, b) + (-a, -b) =
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(0,0)
(a, b)
(-a, -b)
(1, 1)
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Question # 4
The roots of the equation ax
2
+ bx + c = 0 are complex/imaginary if
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b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 5
The set {1, -1, i, -i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 6
Range of cos x is ______
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[-1, 1]
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 7
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
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Question # 8
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Question # 9
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Question # 10
Domain of sec x is ______
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Question # 11
sin(a-90°)=______;
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sina
cosa
-sinθ
-cosa
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Question # 12
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Question # 13
The exact value of cos
-1
(-1) + cos
-1
(1) =
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π
-π
π/2
π/3
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Question # 14
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 15
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2C
C
3
1
0
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Question # 16
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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Question # 17
The sum of the roots of the equation x2 -6x +2 = 0 is
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-6
2
-2
6
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Question # 18
Total number of subsets that can be formed out of the set {a,b,c} is
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1
4
8
12
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Question # 19
If a +b +c =0 then which of the following is true
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a =b =c =0
a,b =b,c =c,a
a xb=b xc =c xa
None
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Question # 20
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Question # 21
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8
4
64
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Question # 22
Inequalities have ______ symbol
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2
3
4
1
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Question # 23
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Question # 24
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Question # 25
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2
7
8
12
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Question # 26
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Question # 27
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none of these
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Question # 28
The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if
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a≠ b,h≠0
a=b
h≠0
h=0
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Question # 29
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3, -3, 11
3, 3, 11
-3, 3, -11
-3, -3, 11
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Question # 30
If a tangent line touches the function y = f (x) in more than one point then y = f (x) is
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Periodic
Surjective
Bijective
Injective
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Question # 31
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