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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The first three terms in the expansion of (1 - x)
-3
are
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1 + 3x + 6x
2
1 - 3x + 6x
2
-3 - 3x - 6x
2
1 - 3x - 6x
2
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Question # 2
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Question # 3
The domain of the principle sine function is
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Question # 4
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Question # 5
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Question # 6
The fifth term of (a+2x3)17 is
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4013 x3a13
2208a13 x12
223x7a18
38080a13 x12
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Question # 7
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real part of z
imaginary part of z
conjugate of z
modulus of z
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Question # 8
The perpendicular bisector of any chord of a circle
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Passes through the centre of the circle
Does not pass through the centre of the circle
May or may not pass through the centre of the circle
None of these
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Question # 9
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A.P.
G.P.
H.P.
None of these
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Question # 10
The tangents drawn from the point P to a circle are real and distinct if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 11
The solution set of the equation |3x + 2| = 5 is
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Question # 12
Which is not a half plane
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ax + by < c
ax + by > c
Both A and B
None
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Question # 13
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Question # 14
If a = {2m/2m < 9 ,m€ p} , the (n A) =
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{2,3,4,5,6,7,8}
{2,4,6,8............16}
{ 4, 6}
{2,3,5,7}
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Question # 15
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cos 3x + c
- cos 3x + c
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Question # 16
The square root of 2i - 20i is
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+-(5 - 2i)
+-(5 + 2i)
(5 - 2i)
None of these
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Question # 17
The set of months in a year beginning with S.
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{September, October, November}
Singleton set
Null set
Empty set
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Question # 18
If the roots of x
2
+ ax + b = 0 are non-real, then for all real x, x
2
+ ax + b is
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Negative
Positive
Zero
Nothing can be said
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Question # 19
If x
3
+ ax
2
- a
2
x - a
3
is divided by x + a, then the remainder is
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0
a
3
2a
3
-2a
3
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Question # 20
If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then
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k=0
k=1
k=w
k=w2
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Question # 21
A function from X to Y is written as
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f : X to Y
f : Y to Y
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Question # 22
Ifᵨ> 1 , then the conic, is:
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Ellipse
Parabola
Hyperbola
None of these
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Question # 23
The range of y = cot x = ______
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-
∞
> y > +
∞
-
∞
> x > +
∞
-
∞ <
y < +
∞
None of above
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Question # 24
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Question # 25
The center of the sphore which passes thro' (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) is
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Question # 26
Range of cos
θ
is
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Question # 27
cot
θ
= sin 2
θ
if
θ
=
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Question # 28
If l, m, n are the d.c.'s of a line, then
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l2+ m2+ n2= 0
l2+ m2+ n2= 1
l + m + n = 1
l = m = n = 1
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Question # 29
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none of these
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Question # 30
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 31
If the exponent in the binomial expansion is 6, then the middle term is
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2nd term
3rd term
4th term
5th term
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