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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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 # 2
Range of tan
θ
is
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Set of complex numbers
Set of real numbers
Set of odd numbers
Set of positive integers only
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Question # 3
The middle term of (x-y)
8
is
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25 x
4
y
4
70 x
4
y
4
120 x
4
y
4
97x
4
y
4
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Question # 4
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Question # 5
The set of rational number is represented by
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W
R
Q'
Q
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Question # 6
Domain of sin
θ
is
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Set of real numbers
Set of complex numbers
Set of natural numbers
Set of even numbers
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Question # 7
The term independent of x is the expansion (x
3
+1/x)
12
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295
495
395
722
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Question # 8
The Domain of y = sin x is ______
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Set of real numbers
Rational
Irrational no.
None of above
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Question # 9
The two different parts of the hyperbola are called its
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Vertices
Directrices
Nappes
Branches
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Question # 10
The discriminant of the quadratic equation ax
2
+ bx + c = 0 is
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b
2
+ 4ac
b
2
- 4ac
4ac - b
2
a
2
- 4ac
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Question # 11
If (1+x-2x
3
)
6
= 1+a
1
x + a
2
x
2
+ a
3
x
3
+ ..... the the value of a
2
+ a
4
+ a
6
+ .....+a
12
will be
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32
31
64
1024
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Question # 12
Domain of tangent function is
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Question # 13
The fixed point from which all the points of a circle are equidistant is called the
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chord of the circle
centre of the circle
diameter of the circle
radius of the circle
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Question # 14
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Question # 15
Z is a group under
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Subtraction
Multiplication
Addition
None of these
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Question # 16
cos2a=______;
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cos2 a-sin2 a
2cos2 a-1
1-2 sin2 a
All of these
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Question # 17
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a tan(ax + b) + c
- a tan(ax + b) + c
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Question # 18
If Cos
θ
=0, then
θ
= ______
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n
π
/2
(2n + 1)
π
/2
(2n - 1)
π
/2
(4n + 1)
π
/2
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Question # 19
The probability to get an odd number in a dice thrown once is
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6
1
1/6
1/2
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Question # 20
What is the 26th term of the sequence, if its general term is a
n = (-1)
n+1
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2
26
27
1
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Question # 21
The function {f(x,y)|y = ax2 +bx +c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 22
The angle of elevation of the top of a tree from a point 17 meters from is foot is 42
𝜊
The height of the tree is
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12m
21m
17m
15m
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Question # 23
By expressing cos 113° in terms of trigonometrical ratios, answer will be
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− cos 76° = -0.7093
− cos 65° = -0.4258
− cos 67° = -0.3907
− cos 62° = -0.8520
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Question # 24
The decimal fraction in which we have finite number of digits in its decimal part is called.
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recurring decimal fraction
Non terminating faction
Non recurring fraction
terminating decimal fraction
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Question # 25
The seventh term of an A.P whose first term is P and common difference is q. is
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P-6q
P+6q
P-4q
P-nq
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Question # 26
tan(3π/2 +θ)=______;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 27
The law of sines is
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Question # 28
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1
-1
0
None of these
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Question # 29
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
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Question # 30
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30°
45°
60°
75°
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Question # 31
The equation of the circle witch centre (-3, 5) and radius 7 is
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(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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