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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The coefficient of xn in the expansion of (1-x)-1 is
Choose an answer
(-1)n2n
1
(-1)n(n+1)
(n+1)
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Question # 2
Ifᵨ> 1 , then the conic, is:
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Ellipse
Parabola
Hyperbola
None of these
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Question # 3
∫Sec
2
(ax + b) dx is equal to:
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tan
2
(ax + b)
1/a tan
2
(ax + b)
1/atan (ax +b)
tan (ax + b)
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Question # 4
Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =
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Question # 5
f (x) = | x | is a/an
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Injective function
Bijective function
Surjective function
Implicit function
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Question # 6
If a > 0 they parabola y2 =-4ax lies in
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I and iv quadrant
I quadrant
II and III quadrant
All are incorrect
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Question # 7
sec h x = ________
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Question # 8
The symbol of irrational is
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W
N
Q
Q
'
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Question # 9
Onto function is also called
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Binjective function
Injective function
Surjechive function
None of these
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Question # 10
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0
1
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Question # 11
The distance between the points (0 , 0) and (2, 1) is
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5
0
3
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Question # 12
The point of concurrency of the medians of the ΔABC is called its
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Orthocenter
Centriod
Circumcentre
Incentre
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Question # 13
The sum if 1,3,5,7,9........ up to 20 terms is
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400
472
563
264
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Question # 14
The square matrix A is skew-symmetric when At=
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-B
-C
-A
-D
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Question # 15
(0,0) is in the solution of the inequality
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x + y > 3
x - y > 2
3x + 2y > 5
3x - 2y < 2
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Question # 16
In any triangle ABC,with usual notationαsinβ =____;
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b sinα
bsinβ
αsinα
None of these
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Question # 17
If z
1
= 2 + 6i and z
2
= 3 + 7i, then which expression defines the product of z
1
and z
2
?
Choose an answer
36 + (-32)i
-36 + 32i
6 + (-11)1
0, +(-12)i
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Question # 18
If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x
y-z
. y
z-x
. z
x-y
eqals
Choose an answer
xyz
0
1
None of these
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Question # 19
In natural logarithm the base is
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1
0
10
e
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Question # 20
The 8th term of (1+2x)
-1/2
is
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-221/16 x
7
-225/18 x
7
-407/9 x
3
-429/16 x
7
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Question # 21
If cos 20°=K and cos x=2 k
2
-1, then the possible values of x between 0° and 360° are
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140°
50° and 140°
50° and 130°
40° and 320°
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Question # 22
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Question # 23
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Question # 24
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I
14 I
0
None of these
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Question # 25
f(x) = 2x
2
+ 3x + 5 is a
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 26
In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is
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Straight line
Circle
Hyperbola
Symmetric w.r.t.0
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Question # 27
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0
1
-1
None
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Question # 28
If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is
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ay2 +2by+c=0
ay2+2by+4c=0
ay2+2by+c=0
ay2+by+4c=0
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Question # 29
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Question # 30
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Question # 31
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none of these
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