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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Identity matrix
Diagonal matrix
Null matrix
Hermitian matrix
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Question # 2
An event having more than one sample point is called
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Certain event
Compound event
Simple event
None
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Question # 3
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20
10
0
None of these
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Question # 4
sin
α=
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2 sin
α
cos
α
2 sin
α
cos
β
2 sin
α
/2 cos
α
/2
1+ tan
2
α
/2
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Question # 5
Inverse of the function y-10x is
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y=logx
y=lnx
x=10y
x=10y
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Question # 6
Period of Sine and Cosine function is
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π
2
π
-
π
-2
π
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Question # 7
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Question # 8
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Question # 9
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a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 10
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none of these
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Question # 11
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Question # 12
The solution of the quadratic equation x2 -7x + 10=0, is
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2
5
2,5
7
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Question # 13
If the function y=2x -3, what is the preimage of 11?
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11
7
5
2
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Question # 14
The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is
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70 m
85 m
35 m
None of these
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Question # 15
The equation of the circle wit (-1, 1) and radius 2 is
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Question # 16
If a,βare the roots of the equation x2 - 8x + p = 0 and a2 + β2= 40,then value of p is
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8
12
10
14
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Question # 17
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Question # 18
The coefficient of the third term of (8a-b)
1/3
, after simplification is
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-228
1/288
1/220
-1/177
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Question # 19
Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21
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-3x + 4y =21
4x - 3x = 0
-3x + 4y = 25
None of these
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Question # 20
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Question # 21
If the exponent in the binomial expansion is 6, then the middle term is
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2nd term
3rd term
4th term
5th term
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Question # 22
The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is
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a > 0
a < 0
a≠ 0
a≠ 0,b ≠ 0
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Question # 23
Write the first four terms of the arithmetic sequence 5, 2, -1, ... is
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3
-4
7
1
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Question # 24
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Question # 25
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Question # 26
The direction cosines of a line equally inclined with co-ordinate axes are
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Question # 27
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Question # 28
Range of tan
θ
is
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Set of complex numbers
Set of real numbers
Set of odd numbers
Set of positive integers only
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Question # 29
The multiplicative inverse of x such that x = 0 is
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-x
does not exist
1/x
0
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Question # 30
A matrix in which the number of rows is equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 31
The graph of a linear function is
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a circle
triangle
a straight line
none of these
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