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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The equation of the circle witch centre (-3, 5) and radius 7 is
Choose an answer
(x-3)
2
+ (y+5)
2
= 7
2
(x-3)
2
+ (y-5)
2
= 7
2
(x+3)
2
+ (y+5)
2
= 7
2
(x+3)
2
+ (y-5)
2
= 7
2
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Question # 2
cos2a=______;
Choose an answer
cos2 a-sin2 a
2cos2 a-1
1-2 sin2 a
All of these
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Question # 3
The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is
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120°
30°
130°
45°
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Question # 4
If f(√x)=sin x , then f′(x) =______;
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2xcosx2
cosx2
cos√x
None of these
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Question # 5
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Question # 6
If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:
Choose an answer
10
5
0
20
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Question # 7
Arithmetic mean between a and b is
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Question # 8
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Orthogonal
Involutary
Idempotent
Nilpotent
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Question # 9
An even function is symmetric about the line
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y = x
x = 0
y = -x
y = 0
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Question # 10
What is the number of elements of the power set of {0, 1}
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1
2
3
4
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Question # 11
If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that
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x is function of y
y is a function of x
y is independent variable
x is real valued function
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Question # 12
∫ x cos dx is equal to :
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x cos x + sin x
cos x + x sin x
x cos x + x sin x
x sin x + cos x
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Question # 13
(1, 2) is in the solution of the inequality
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2x + y > 8
2x + y
<
6
2x - y > 1
2x + 3y < 2
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Question # 14
1,1/3,1/5,1/7,1/9..... is a
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geometric sequence
finite sequence
infinite sequence
arithmetic series
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Question # 15
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Question # 16
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0
1
undefined
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Question # 17
If the angle between two vectors
u
and
v
is 0 orπ, then the vectors
u
and
v
are:
Choose an answer
Orthogonal
Collinear
Perpendicular
None of these
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Question # 18
Choose an answer
110
220
1320
None of these
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Question # 19
The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is
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(0,0)
(1,1)
(2,2)
(3,3)
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Question # 20
There are ______ basic techniques for solving a quadratic equation
Choose an answer
Two
Three
Four
None of these
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Question # 21
The law of sines can be used to solve
Choose an answer
Right angle triangle
Isosceles triangle
oblique triangle
haxagon
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Question # 22
If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then
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h=2a
h=a+b
h=ab
h=ac
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Question # 23
Range of sec
θ
is
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Z - {x | -1 < x < 1}
W - {x | -1 < x < 1}
R - {x | -1 < x < 1}
R
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Question # 24
Φ set is the _______ of all sets
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Subset
Union
Universal
Intersection
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Question # 25
graph of sine function is bounded between lines
Choose an answer
y± 1 = 0
x± 1 = 0
x± y - 0
None of these
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Question # 26
The range of inequality x + 2 > 4 is
Choose an answer
(-1, 2)
(-2, 2)
(1,
∞
)
None
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Question # 27
The first three terms in the expansion of (1 + x)
3
are
Choose an answer
1 + 3x +6x
2
1- 3x + 6x
2
\
-3 -3x -6x
2
1- 3x -6x
2
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Question # 28
The quadratic equation 8 sec2θ - 6 secθ +1 =0 has
Choose an answer
Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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Question # 29
An equation which holds good for all values of variables is called
Choose an answer
Equation
Conditional equation
Constant
None
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Question # 30
The sum of indicated terms of a sequence is called
Choose an answer
Arithmetic series
Series
Harmonic series
None of these
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Question # 31
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