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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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Question # 4
The system of measurement in which the angle is measured in degrees, minutes and seconds is called the
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circular system
CGS system
sexagesimal system
none of these
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Question # 5
The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if
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a≠ b,h≠0
a=b
h≠0
h=0
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Question # 6
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none of these
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Question # 7
There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?
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10
66
71
106
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Question # 8
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A prime number
An integer
A whole number
An irrational number
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Question # 9
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Question # 10
The area of sector with central angle of 1 radians in a circular region whose radius is 2 m is
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Question # 11
(-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 # 12
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π
/ 4
π
/ 6
π
/ 3
2π
/ 3
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Question # 13
If the trace of matrix A is 5, then the trace of the matrix 3A is
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3/5
5/3
8
15
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Question # 14
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Question # 15
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N
r
2r
π
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Question # 16
(0,1) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 5
x -2y < -5
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Question # 17
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 18
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none of these
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Question # 19
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2
-2
none of these
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Question # 20
Period of cosec x is ______
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Question # 21
The roots of the equation ax
2
+ bx + x = 0 are real and distinct if
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b
2
- 4ac <0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 22
If n is a negative integer n! is
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1
0
Unique
Not defined
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Question # 23
General solution of tan 5
θ
= cot 2
θ
is
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Question # 24
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 # 25
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2x - 3x + c
x
2
- 3x + c
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Question # 26
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Question # 27
∫sin(ax+b) dx is equal to:
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1/2a cos (ax + b)
-1/a cos (ax +b)
1/a cos (ax +b)
1/a ln (ax + b)
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Question # 28
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 29
If nis positive integers, then 2
n
>2n+1, only when
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n≤ 3
n≥ 3
n≤ 2
n≤ 1
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Question # 30
The domain of an infinite sequence is a
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Set of natural numbers
R
Subset of N
None of the above
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Question # 31
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0
-1
1
-2
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