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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The coefficient of xn in the expansion of (1-2x)-1 is
Choose an answer
(-1)n2n
2n
(-1)(n+1)xr
(n+1)2n
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Question # 2
The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at
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(1,1)
(0,1)
(1,0)
(0,0)
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Question # 3
Area of
Δ
ABC=
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ab sin
α
1/2 ab sin
α
1/2 ac sin
γ
1/2 ac sin
β
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Question # 4
Composition of functions is
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Non-commutative (fg ≠ gf)
non-associative [8(fh) ≠(8f)h]
Commutative (fg = gf)
f of-1≠ 1
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Question # 5
The number of terms in the expansion of (a + b)
9
is
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10
11
9
12
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Question # 6
A function whose domain is a subset of natural numbers is called ______
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Identity function
Sequence
Onto function
Series
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Question # 7
A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string
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62m
82m
73m
57m
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Question # 8
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Question # 9
The straight line passing through the focus and perpendicular to the directrix of the conic is known as its
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Tangent
axis
Focal chord
major or manor axis
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Question # 10
(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 # 11
The sum of first twenty odd integers in A.P is
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400
397
404
408
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Question # 12
Which of the following is a factor of x
3
- 3x
2
+ 2x - 6
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x + 2
x + 3
x - 3
x - 4
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Question # 13
The vertex of the standard position angles lies on
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(0,0)
(0,1)
(1,0)
(1,1)
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Question # 14
(x3-1/x)12
Choose an answer
295
495
395
722
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Question # 15
The locus of the centre of a circle which touches two given circles externally is:
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a hyperbola
an ellipse
a circle
a parabola
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Question # 16
n different objects can be arranged taken all at a time in ______
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(n + 1)! ways
(n - 1)! ways
n! ways
n ways
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Question # 17
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Question # 18
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Question # 19
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 # 20
Another name of quadratic equation is
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Polynomial
2nd degree polynomial
Linear equation
simaltaneous equations
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Question # 21
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Question # 22
If A⊆ B, and B is a finite set, then
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n (a) < n(B)
n(B)<(A)
n(A)≤ n (B)
n(A)≥ n(B)
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Question # 23
i
=
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√1
√2
√-2
√-1
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Question # 24
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Question # 25
cos (
α
-
β
) = cos
α
cos
β
+ sin
α
sin
β
is true for all
Choose an answer
α
>
β
> 0
α
>
β
β
>
α
None of these
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Question # 26
0.25 is ______
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An irrational number
A natural number
A prime number
A rational number
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Question # 27
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3/4
-3/4
4/3
-4/3
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Question # 28
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An expression
Rational fraction
Equation
Identity
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Question # 29
The period sin
2
θ
is
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π
2
π
2
π
π/2
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Question # 30
i
9
=
Choose an answer
i
2
-1
1
i
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Question # 31
The direction cosines of a line equally inclined with co-ordinate axes are
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