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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The locus of the centre of a circle which touches two given circles externally is:
Choose an answer
a hyperbola
an ellipse
a circle
a parabola
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Question # 2
If z
1
= (a,b), z
2
=(c,d), then z
1
z
2
= -------------------
Choose an answer
(ac,bd)
(ac+bd, ad-bc)
(ac-bd , ad+bc)
(ac-bd , ad-bc)
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Question # 3
The order of the matrix [1 2 3] is
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1 x 1
3 x 3
3 x 1
1 x 3
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Question # 4
i =
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Question # 5
P∉ A means
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P
is subset of A
P
is an element of A
P does not belongs to A
A does not element of
P
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Question # 6
The centre fo the circle x
2
+ y
2
+ 12x -10 = 0 is
Choose an answer
(12, -10)
(6, -5)
(-12, 10)
(-6, 5)
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Question # 7
A function in which the variable appears as exponent is called:
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An identity function
A logarithmic function
an exponential function
A rational function
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Question # 8
Choose an answer
none of these
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Question # 9
E-radius corresponding to < B is
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Question # 10
If ax + bx + c =0 is satisfied by every value of x,then
Choose an answer
b = 0,c = 0
c = 0
b = 0
a = b = c = 0
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Question # 11
The square of the distance between two points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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Question # 12
If a and b are real numbers then a+b is also real number this law is called
Choose an answer
associative law of addition
closure law of addition
Distributive law of addition
Commutative law of addition
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Question # 13
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Question # 14
If y=f(x) is a function then y is called
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dependent variable
independent variable
constant
none of these
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Question # 15
A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is
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1 / 500
1 / 504
1 / 252
1 / 250
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Question # 16
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Question # 17
If Z
1
= 1+ i, Z
2
= 2+3i , then |Z
1
-Z
2
| =?
Choose an answer
√5
√7
-1-2i
√3
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Question # 18
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Question # 19
If P is a whole number greater than 1, which has only P and I are factors. Then P is called
Choose an answer
Wholw number
Prime number
Even number
Odd number
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Question # 20
The value of n, when
n
P
2
= 20 is
Choose an answer
3
4
6
5
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Question # 21
Choose an answer
both a & c
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Question # 22
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Question # 23
The point ________ is in the solution of the inequality 2x - 3y > 5
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(1, -1)
(2,2)
(0,0)
(3,0)
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Question # 24
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Question # 25
Choose an answer
1
2
-1
0
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Question # 26
Choose an answer
A,. B, C are coincident
A, B, C are collinear
Both A and B
None of these
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Question # 27
5x
3
+ 3x - is a ______
Choose an answer
Polynomial of degree 3
Polynomial of degree 2
Polynomial of degree 1
Polynomial of degree 0
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Question # 28
The principal value of sin
-1
[-√(√3) /2] is
Choose an answer
5π/3
-2π/3
-
π/3
π/3
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Question # 29
Sin 50°-sin 70°+sin 10° is equal to
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1
0
1/2
2
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Question # 30
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Question # 31
Choose an answer
2
0
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