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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The lines l1and l2intersect. The shortest distance between them is
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Positive
Negative
Zero
Infinity
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Question # 2
The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is
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x + y + z - 15 = 0
x - y + z - 15 = 0
x - y - z - 15 = 0
x + y + z + 15 = 0
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Question # 3
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Trichotomy property
Additive property of inequality
Transitive property
Multiplicative property
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Question # 4
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Question # 5
The third term of the sequence a
n
= (-1)
n-1
(n-7) is ______
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8
4
-4
8
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Question # 6
Domain of 3 sin x is ______
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[-3, 3]
R
Positive real numbers
None of these
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Question # 7
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A rational number
A irrational number
An even integer
A factor of 36
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Question # 8
A triangle which is not right is called an ______ triangle
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Acute
Obtuse
Oblique
None of these
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Question # 9
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Question # 10
The first three terms in the expansion of (1 + x)
-1
are
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1 + x + x
2
1 - x - x
2
-1 -x + x
2
1 - x + x
2
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Question # 11
The period of the trigonometric function y = sin x cos x is
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2π
π
4π
π / 2
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Question # 12
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Question # 13
Geometrically the modulus of a complex number represents its distance from the
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Point (1,0)
Point (0,1)
Point (1,1)
Point (0,0)
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Question # 14
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Question # 15
Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then
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α = β
αβ = 1
α = β
α = 1
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Question # 16
The number of permutations of n objects of which there are n
1
like of one kind, n
2
like of the second kind and n
3
like objects of third kind are
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Question # 17
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 # 18
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Question # 19
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Question # 20
Domain of cosec x is ______
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Question # 21
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5
-5
none
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Question # 22
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Question # 23
For n€ N,2
n>2
> n is to only when
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n<2
n≤ 4
n≥ 4
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Question # 24
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Question # 25
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Question # 26
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Reflexive property
Symmetric property
Transitive property
Additive property
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Question # 27
∀ z ∈ C, multipliucative is
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(1,1)
(1,0)
(0,1)
None of these
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Question # 28
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c = 0
c = -1
c = -2
c = 1
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Question # 29
∀x, y ∈ R, either x = y or x > y or x < y is
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Transitive property
Reflexive property
Trichotomy property
None of these
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Question # 30
(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio
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1:2
3:2
2:3
2:1
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Question # 31
If the 4th term in the expansion of (px + x
-1
)
m
is 2.5 for all x
∈ R, then
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