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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
The equation x
2
+ y
2
= 0 represents
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A circle
A degenerate circle
An empty set
A st. line
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Question # 3
We solve the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a,b and c
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Question # 4
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15
15 i
-15 i
-15
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Question # 5
The domain and range of a trigonometric function can be allocate by their
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graph
Continuity
Discontinuity
Periods
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Question # 6
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Question # 7
-2, 1, 4, 7,.... is ______
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Harmonic sequence
Arithmetic sequence
Geometric sequence
Arithmetic series
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Question # 8
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 # 9
Let P(x
1
, y
1
) and Q(x
2
, y
2
) be two points in the co-ordinate plane. Let d = distance between P and Q
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Question # 10
The 26th term of the A.P -2,-4,10,.............is
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136
-136
148
-148
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Question # 11
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Question # 12
The sum of indicated terms of a sequence is called
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Arithmetic series
Series
Harmonic series
None of these
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Question # 13
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a = -1/2, b = -1
a = 1, b = 2
a = 2, b = 3
None of above
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Question # 14
In R the number of identity elements w.r.t.'.' is
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One
Two
Three
Four
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Question # 15
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Question # 16
If b
1
, b
2
, b
3
, ... are in G.P. with first term unity and common ratio r, then the minimum value of b
1
- b
3
+ b
5
is equal to
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3/4
1/4
1
None of these
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Question # 17
Which of the following is not a unit vector
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[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
[1, 0, 0]
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Question # 18
The Principal value of sin-1 (-1/1/2)
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π/2
-π/2
π
-π
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Question # 19
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all are correct
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Question # 20
The distance between the points (0 , 0) and (1, 2) is
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5
0
3
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Question # 21
Conic sections or simply conics are the curves obtained by cutting a right circular cone by
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a line
two lines
a plane
two planes
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Question # 22
If a2 = b2 then
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a = b
a+b= 1
|a+b| =0
None
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Question # 23
sin(a-90°)=______;
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sina
cosa
-sinθ
-cosa
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Question # 24
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a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 25
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 # 26
The set { 1 , -1} is closed w.r.t.
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Addition
Multiplications
Subtraction
None of these
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Question # 27
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trigonometric equation
conditional equation
identity
None
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Question # 28
Some of two real numbers is also a real number , this property is called:
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Commutative property w.r.t addition
Closure property w.r.t. addition
Associative property w.r.t. addition
Distributive property w.r.t addition
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Question # 29
Co-ordinate of a point on the parabola y
2
= 8x whose focal distance is 4 are:
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(2 , 4)
(-2 ,-4)
(-2, 4)
(2,-4)
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Question # 30
In (x + iy) x is the known as
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Imaginary part of complex number
Real part of complex number
Complex number
None of above
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Question # 31
202.04 is an example of
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Recurring decimals
Non-recurring decimals
Terminating decimals
None of these
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