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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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1 + tan
2
x + c
tan x + c
-tan x + c
cot x + c
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Question # 2
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1
7
4
None of these
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Question # 3
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An ellipse
A parabola
A circle
A hyperbola
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Question # 4
The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is
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72
48
144
20
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Question # 5
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 6
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a.b and c
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Question # 7
In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is
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69°
66°
60°
63°
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Question # 8
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Question # 9
If f(x) = tan x then f(0) is
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0
1
1/2
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Question # 10
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 # 11
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1 / 2
1 / 3
1 / 4
None of these
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Question # 12
cos h
2
x + sin h
2
x
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 13
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(2x4)
(2x7)
(2x3)
(7x2)
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Question # 14
The value of x and y when (x + iy)2 = 5 - 4i
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x = 2, y = -1
x = -2, y = 1
x = 2, y = -i
x = 2, y = 2
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Question # 15
{x|x∈R∧x≠x} is a
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Infinite set
Null set
Finite set
None of these
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Question # 16
The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called
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Linear Inequalities
Feasible regions
Half planes
Boundary
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Question # 17
The graph of a quadratic function is
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Circle
Ellipse
Parabola
Hexagon
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Question # 18
If the roots of ax2 + b =0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0,b > 0
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Question # 19
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Question # 20
An indicated sum of terms of a sequence is represented by
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Sn
an
S(n)
{Sn}
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Question # 21
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(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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Question # 22
If f(x) = x
3
- 2x
2
+ 4x -1 then f(2) is
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7
-16
16
-9
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Question # 23
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π
π / 2
π / 3
π / 4
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Question # 24
The constant distance of all points of the circle from its centre is called the
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Radius of the circle
Secant of the circle
Chord of the circle
Diameter of the circle
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Question # 25
The domain of the principal tan function is
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Question # 26
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Question # 27
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9/4
4/9
1
None of these
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Question # 28
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2
4
8
16
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Question # 29
If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is:
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y
2
= -4 ax
x
2
= 4ay
x
2
= -4ay
y
2
= 4ax
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Question # 30
i
9
=
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i
2
-1
1
i
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Question # 31
The point lying on the terminal rat of -270° is
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(1,0)
(0,-1)
(0,1)
(-1,0)
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