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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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a
2a
3a
4a
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Question # 2
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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Question # 3
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Question # 4
tan
θ
/2
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Question # 5
The smallest positive root of the equation tan x - x = 0 lies on
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Question # 6
tan(π-θ)=_____;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 7
(x +a)(x +b)(x +c)(x +) = k, k≠0 is reducible to quadratic form only if
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a+b=c+d
a+c=b+d
a+d=b+c
All are correct
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Question # 8
If z
1
= 1 + 2i, z
2
= 3 + 4i then
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z
1
> z
2
z
1
= z
2
z
1
< z
2
None of these
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Question # 9
Point (2,0) lies on trigonometric function f(x)=______;
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sinx
cosx
tanx
secx
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Question # 10
If A = [aij]mxpand B =[aij]pxnthen order of BA is
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m x n
p x n
n x m
None of these
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Question # 11
A point of a solution region where two of its boundary lines intersect, is called
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Boundary
Inequality
Half plane
Vertex
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Question # 12
i
-(4n+2)
= -------------------------------
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1
i
-1
-i
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Question # 13
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Question # 14
The line 3x - 4y = 0
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Is a tangent to the circle x
2
+ y
2
= 25
Is a normal to the circle x
2
+ y
2
=25
Does not meet the circle x
2
+ y
2
= 25
Does not pass thro' the origin
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Question # 15
If n(A) = n then n(P(A)) is
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2n
n
2
n/2
2
n
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Question # 16
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 17
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25
16
5
0
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Question # 18
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Associate law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 19
The two parts into which 57 should be divided so that their product is 782 are
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43,14
34,23
33,24
44,13
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Question # 20
The value of i
4n+1
Choose an answer
1
-1
i
i
2
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Question # 21
How many signals can be given by 5 flags of different colours, using 3 flags at a time
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120
60
24
15
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Question # 22
If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is
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0
2
1
5
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Question # 23
6 is
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A prime integar
An irrational number
A rational number
An odd integer
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Question # 24
If one root of the equation x
2
- 3x + a = 0 is 2 then a = ______
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0
1
2
3
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Question # 25
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Question # 26
The ellipse and hyperbola are called
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Concentric conics
Central conics
Both a b
None
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Question # 27
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Question # 28
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Question # 29
If x - 1 is a factor of x4 - 5x2 + 4 then other factor is
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(x + 2)2(x - 1)
(x + 2)(x - 1)2
(x+2)(x2- x- 2)
(x + 2)2(x - 1)2
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Question # 30
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Question # 31
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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