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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The angles with some initial and terminal sides are called
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Quadrantal angles
Coterminal angles
Allied angles
None
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Question # 2
∫Sec
2
(ax + b) dx is equal to:
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tan
2
(ax + b)
1/a tan
2
(ax + b)
1/atan (ax +b)
tan (ax + b)
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Question # 3
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The law of consines
The law of sines
The law of tangents
None of these
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Question # 4
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 5
If s = 2t
3
- 3t
2
+ 15t - 8 is the equation of motion of a particle, then its initial velocity is
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8
15
-6
None
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Question # 6
Three points whose position vector a,b,c are collinear
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axb +b x c+ c x a = 0
a,b +b,c +c,a =0
a,|a xc| =0
a+b+c =0
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Question # 7
Express the perimeter P of square as a function of its area A?
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P = 4√A
P =√A
P = 2A
P =π√A
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Question # 8
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 # 9
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A
B
U
None of these
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Question # 10
The set {Z\ {0} } is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 11
The magnitude of a vector can never be
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Zero
Negative
Positive
None of these
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Question # 12
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Question # 13
Point (2,0) lies on trigonometric function f(x)=______;
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sinx
cosx
tanx
secx
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Question # 14
If n∈Z+ then(a+x)n is a/an
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Finite series
Convergent series
Infinite series
Divergent series
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Question # 15
A polynomial of arbitrary degree
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f(x) = o
f(x) = x
f(x) = a
f(x) = ax + b,a ≠ 0
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Question # 16
xy= 2 is:
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a constant function
an identity function
an improper function
implicit function
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Question # 17
If 4 sin
2
θ
=1, then values of
θ
are
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Question # 18
The logic in which every statement is regarded as true or false and no other possibility is called
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Aristotelian login
Inductive logic
Non-Aristotelian logic
None of these
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Question # 19
If the circle x
2
+ y
2
+ 2gx +2fy + c = 0 passes through the origin then
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c = 0
c = -1
c = -2
c = 1
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Question # 20
The range of the principle cot function is
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Question # 21
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I3
rI3
r
none
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Question # 22
The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by
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Question # 23
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2
-2
none of these
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Question # 24
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Question # 25
The A.M. of two numbers is 34 and G.M. is 16, the numbers are
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2 and 64
64 and 3
64 and 4
None of these
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Question # 26
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0
1
undefined
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Question # 27
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a, b and c
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Question # 28
The graph of a quadratic function is
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Circle
Ellipse
Parabola
Hexagon
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Question # 29
The sum of the squares of three distinct real numbers, which are in G.P., is S
2
. if their sum is
α
S then
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Question # 30
An equation which holds good for all values of variables is called
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Equation
Conditional equation
Constant
None
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Question # 31
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none of these
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