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ECAT Mathematics Online Test MCQs With Answers
Question # 1
n
C
2
= exists when n is ______
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Question # 2
The set of integer is
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Finite group
A group w.r.t addition
A group w.r.t multiplication
Not a group
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Question # 3
The cube roots of 8 are
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Question # 4
Which of the following does not represent absolute value of a vector
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magnitude
length
norm
number
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Question # 5
Derivative of x
3
w.r.t x is
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0
1
3x
2
x
3
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Question # 6
Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is
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2
3
4
1
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Question # 7
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0
-1
1
not defined
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Question # 8
If (2,0) is the vertex and y-axis is directrix of parabola then focus is
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(2,0)
(-2,0)
(4,0)
(-4,0)
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Question # 9
The distance between the points (2,3) and (3,2) is
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5
2
10
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Question # 10
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Question # 11
Find the next two terms of 7, 9, 12, 16,...
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18, 20
19, 22
20, 25
21, 27
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Question # 12
For all points (x,y) in third quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 13
The unit vector along x-axis is
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none of these
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Question # 14
If b
2
- 4ac is positive then the roots of the equation are
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Real
Imaginary
Positive
Negative
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Question # 15
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Question # 16
The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is
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θ = 30°
θ = 45°
θ = 60°
θ = 75°
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Question # 17
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 18
Domain of sec
θ
is
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Question # 19
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1
0
5
2
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Question # 20
A non-terminating non_recurring decimal represents an
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Irrational no
Both a & c
Rational no
None of these
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Question # 21
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Question # 22
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Question # 23
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none of these
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Question # 24
a.a
-1
= a
-1
.a = 1 is a
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Commutative law of multiplication
Multiplication identity
Associative law of multiplication
Multiplication inverse
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Question # 25
If
∀a,b ε R,then a +b ε R is a property
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Closure law of addition
Associative law of addition
Additive inverse
Additive identity
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Question # 26
If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =
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5
{-3,-2,-1,0,1,2,3,4,5,6}
8
9
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Question # 27
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none of these
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Question # 28
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Question # 29
The number of triplets (x, y, z) satisfying sin
-1
x +cos
-1
y + sin
-1
z = 2
π
is
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0
2
1
Infinite
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Question # 30
Which one is a pair of allied angles
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(180° -
θ)
(180° -
θ,
180° +
θ)
(180° +
θ)
None of these
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Question # 31
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