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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The magnitude of a vector can never be
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Zero
Negative
Positive
None of these
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Question # 2
2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called
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Associative property
Identity property
Commutative property
Closure property w.r.t multiplication
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Question # 3
If w is a cube root of unity then 1 + w + w
2
= ______
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1
2
0
-1
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Question # 4
(1, 2) is in the solution of the inequality
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2x + y > 8
2x + y
<
6
2x - y > 1
2x + 3y < 2
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Question # 5
Period of Cotangent function is
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π
-π
0
-2π
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Question # 6
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15
15 i
-15 i
-15
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Question # 7
If a, b, c are in AP., a, b, c are in G.P. then A, m
2
b, c are in
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A.P.
G.P.
H.P.
None of these
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Question # 8
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6x - 2 + c
x
3
- x
2
+ x + c
6x - x
2
+ c
6x
3
- x
2
+ c
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Question # 9
The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are
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Question # 10
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2x - 3x + c
x
2
- 3x + c
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Question # 11
Derivative of x
3
w.r.t x is
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0
1
3x
2
x
3
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Question # 12
If G is a G.M between a and b then a,G,b are in
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A.P
H.P
G.P
None of these
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Question # 13
The parametric equation of a curve are x = t
2
, y = t
3
then
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Question # 14
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Question # 15
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none of these
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Question # 16
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 17
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Question # 18
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0
1
undefined
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Question # 19
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Question # 20
The set of the first elements of the orders pairs forming a relations is called its
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Relation in B
Range
Domain
Relation in A
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Question # 21
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none of these
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Question # 22
If a
1
= a
2
= 2, a
n
= a
n-1
- 1 (n > 2), then a
5
is
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1
0
-1
-2
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Question # 23
8 . 7 . 6. 5 in factorial form is
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Question # 24
The graph of a quadratic function is
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Circle
Straight line
Parabola
Triangle
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Question # 25
Which of the following is a scalar
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weight
force
speed
momentum
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Question # 26
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Linear equation
Quadratic equation
Cubic equation
None of these
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Question # 27
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Question # 28
Two circles are said to be concentric if they have
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same radius
same chord
same centre
same diameter
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Question # 29
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Question # 30
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Question # 31
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6, -12, -18
-6, 4, 9
-6, -4, -9
-6, 12, 18
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Question # 32
The fifth term of the sequence a
n
= 2n + 3 is ______
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13
-13
8
3
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Question # 33
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Question # 34
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20
10
0
None of these
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