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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
Arithmetic mean between a and b is
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Question # 3
The additive inverse of a matrix A is
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None of these
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Question # 4
The centre of the circle x2+y2 -2fx-2gy+x=0 is
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(-g,-f)
(g,f)
(f,g)
(-f,-g)
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Question # 5
Which term of the A.P 5,8,11,24.............is 320
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104th
106th
105th
64th
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Question # 6
The behavior of trigonometric function is called
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Continuity
Discontinuity
Periodicity
Smoothness
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Question # 7
The line through the centre and perpendicular to the transverse axis is called the
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Major axis
Minor axis
Focal axis
Conjugate axis
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Question # 8
How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?
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15
24
60
120
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Question # 9
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Question # 10
The law of cosines reduces to a2 +c2 =b2 for
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α = 90°
β = 90°
γ = 90°
α +β +γ =180°
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Question # 11
If f(√x)=sin x , then f′(x) =______;
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2xcosx2
cosx2
cos√x
None of these
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Question # 12
(x
3
-1/2x)
6
is
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15/16 x
2
2/13 x
2
17/7 x
2
16/15 x
2
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Question # 13
cos (
α
+
β
) + cos (
α
-
β
) =
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4 cos
α
cos
β
2 cos
α
cos
β
2 sin
α
sin
β
2 sin
α
cos
β
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Question # 14
Multiplicative inverse of "1" is
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0
±1
1
{0,1}
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Question # 15
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Question # 16
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12
13
14
15
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Question # 17
Which element is the additive inverse of (a,b) in Complex numbers
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(a,0)
(0,b)
(a,b)
(-a,-b)
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Question # 18
The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of
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Square
Parallelogram
Rectangle
Trapezium
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Question # 19
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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parabola
circle
hyperbola
ellipse
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Question # 20
If A is any matrix then its additive inverse is
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A
A
-1
A
t
-A
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Question # 21
Cos (cos4π/3)=
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π/2
π/3
2π/3
-π/3
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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
Let A be a square matrix. Then, 1/2 (A-A') is
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Skew-symmetric
Symmetric
Null
None of the above
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Question # 25
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3, -3, 11
3, 3, 11
-3, 3, -11
-3, -3, 11
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Question # 26
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 # 27
The constant distance of all points of the circle from its centre is called the
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Radius of the circle
Secant of the circle
Chord of the circle
Diameter of the circle
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Question # 28
The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is
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36 square units
3 square units
6 square units
18 square units
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Question # 29
sin (
α +
β)=
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sin
α
cos
β
- cos
α
sin
β
sin
α
cos
β
- cos
α
sin
β
sin
α
cos
α
- cos
β
sin
β
sin
α
cos
α
+ cos
β
sin
β
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Question # 30
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Question # 31
If #n = (n-5)2 + 5, then find #3 x #4.
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54
12
4
9
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