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ECAT Mathematics Online Test MCQs With Answers
Question # 1
E-radius corresponding to < A is
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Question # 2
For the equation |x
2
| + |x| -6 =0, the roots are
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One and only one real number
Real with sum one
Real with sum zero
Real with product zero
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Question # 3
Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b
∈
G. then inverse of a is
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-a
a + 1
-2 -a
None of these
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Question # 4
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Question # 5
A number A is said to be the A.M between the two numbers a and b if a, A, b are in
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A.M
A.P
G.P
G.M
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Question # 6
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Question # 7
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1
-1
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Question # 8
The multiplicative inverse of -3i is
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3i
-3i
-1/3i
1/3 i
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Question # 9
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2 b
2 a
2 ab
a + b
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Question # 10
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 # 11
The common ration of a geometric sequence cannot be
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0
1
2
3
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Question # 12
If sin x + sin
2
x = 1, then the value of Cos
12
x + 3cos
10
x + 3cos
8
x + cos
6
x + 2 cos
4
x + cos
2
x-2 is equal to
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0
1
2
sin
2
x
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Question # 13
The set { 1 , -1} is closed w.r.t.
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Addition
Multiplications
Subtraction
None of these
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Question # 14
If A = {x / x ∈ R ∧ x
2
- 16 = 0} then A =
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- x
Infinite set
Φ
{-4,4}
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Question # 15
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A finite set
An infinite set
An empty set
None of these
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Question # 16
2cos2 a/2 =______;
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1+sina
1-sina
1+cosa
1-cosa
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Question # 17
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π
/ 4
π
/ 6
π
/ 3
2π
/ 3
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Question # 18
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Question # 19
The multiplicative inverse ofx^(-1) is
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x
a-2
0
1
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Question # 20
The distance of the point (-2, -3) from the origin is
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2
-5
-3
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Question # 21
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Question # 22
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Question # 23
The length of the tangent from (2, 1) to the circle x
2
+ y
2
+ 4y + 3 = 0 is
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Question # 24
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 25
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xa
x-1
a
x
x in a
a
x
In a
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Question # 26
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 27
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Question # 28
A rule that assigns to each elements x in X a unique element y in Y is called a ____________
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domain
range
function
none of these
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Question # 29
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R/[0,4]
R/(0,4)
(0,4)
[0,4]
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Question # 30
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x-axis
y-axis
z-axis
None of these
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Question # 31
If the radius of a circle is increased by 1 then area of circle will be
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π r2
π(r+1)2
π r2 +1
2π (r+1)
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