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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
I
14 I
0
None of these
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Question # 2
(A∩Bc)c= -------------------------
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Ac∪Bc
Ac∪B
Ac∩B
None of these
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Question # 3
The equation of a line parallel to the tangent to the circle x
2
+ y
2
= 16 at the point (2, 3) and passing thro' the origin is
Choose an answer
2x + 3y = 0
2x - 3y = 0
3x + 2y = 0
3x - 2y = 0
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Question # 4
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Question # 5
If E = { } , then P(E)
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∅
{ }
{(2),(4),(6)....}
(∅)
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Question # 6
(a+bi) - (c+di)=
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(a+b) = (c+d)
(a+c) + i(b+d)
(a - c) + (c- d)i
(a - c)+ (b - d)i
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Question # 7
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 # 8
The domain of the principal tan function is
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Question # 9
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Question # 10
2x
3
+ 3x + 9 is a ______
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Polynomial of degree 3
Quadratic equation
Cubic equation
Polynomial of degree 2
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Question # 11
The 5th term of (3a-2b)
-1
is
Choose an answer
77b
2
/a
5
16b
2
/243 a
5
17b
4
/43a
5
25b
3
/43a
5
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Question # 12
A circle which touches one side of a triangle extermally and the other two sides produced is called
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In-circle
Circumcircle
e-circle
Point circle
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Question # 13
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images
pre-images
constants
none of these
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Question # 14
The property used in -3 <-2 ⇒0 <1
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Commutative property
Additive property of inequality
Additive inverse
Additive identity
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Question # 15
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Question # 16
In (x + iy) x is the known as
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Imaginary part of complex number
Real part of complex number
Complex number
None of above
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Question # 17
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Question # 18
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Question # 19
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1
7
4
None of these
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Question # 20
The set of integer is
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Finite group
A group w.r.t addition
A group w.r.t multiplication
Not a group
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Question # 21
The line joining the center of a circle to the midpoint of the chord is
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Perpendicular to the tnagent
Perpendicular to the normal
Perpendicular to the chord
Perpendicular to the chord
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Question # 22
The law of consines is
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Question # 23
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25
16
5
0
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Question # 24
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Reflexive property
Symmetric property
Cancellations property w.r.t. addition
Transitive property
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Question # 25
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Question # 26
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 27
If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is
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α
c
b
d
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Question # 28
If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be
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Hyperbola
Parabolas
Ellipses
None of these
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Question # 29
(7,9) +(3,-5) =
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(4,4)
(10,4)
(9,-5)
(7,3)
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Question # 30
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0
3
9
-3
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Question # 31
If the expansion of (1 + x)
20
, then co-efficient of rth ad (r + 4)th term are equal, then r is
Choose an answer
7
8
9
10
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