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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 2
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Question # 3
sin(3π/2 -θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 4
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Question # 5
P∉ A means
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P
is subset of A
P
is an element of A
P does not belongs to A
A does not element of
P
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Question # 6
An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is
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2 mn
1/2 mn
mn
mn
2
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Question # 7
For an A.P common difference d
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Can be zero
May or may not zero
Cannot be zero
None of these
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Question # 8
The solution set of the equation 4 cos
2
x - 3 + 0 is
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none of these
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Question # 9
For three consecutive terms in A.P middle term is called
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A.M
nth term
Central term
None of these
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Question # 10
(fog)′(x) =f′(g(x))g′(x) is derivative by
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Chain rule
Reciprocal rule
Power rule
Product rule
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Question # 11
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Question # 12
For any integer k, w
n
= ______ when n = 3k
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1
2
0
-4
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Question # 13
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Question # 14
The solution set of the equation tan
-1
x - cot
-1
x = cos
-1
(2 - x) is
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[0, 1]
[-1, 1]
[1, 3]
None of these
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Question # 15
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Question # 16
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Question # 17
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Question # 18
A square matrix all of whose elements except the main diagonal are zeros is called a
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Null matrix
Singular matrix
Symmetric matrix
Diagonal matrix
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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
The√ is used for the
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Positive square root
Negative square root
+ve and -ve square root
Whole number
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Question # 21
The term independent of x is the expansion (x
3
+1/x)
12
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295
495
395
722
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Question # 22
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 # 23
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 24
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Question # 25
The line 3x - 4y = 0
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Is a tangent to the circle x
2
+ y
2
= 25
Is a normal to the circle x
2
+ y
2
=25
Does not meet the circle x
2
+ y
2
= 25
Does not pass thro' the origin
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Question # 26
x
3
+ 2x
2
- 3x + 5 is ______
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An equation
A polynomial
Proper rational fractions
Improper rational fractions
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Question # 27
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Question # 28
The process of finding a function whose derivative is given is called a
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Differentiation
Integration
Differential
None
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Question # 29
The transpose of a column matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 30
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3 sec
2
x
3 sec
2
3x
sec
2
3x
sec
2
x
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Question # 31
n!/(n-1)!=
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n
n!
(n-1)!
0!
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