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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
0
1
-1
None of these
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Question # 2
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Question # 3
If A and B are two sets then intersection of A and B is denoted by
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Question # 4
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 5
The central angle of an arc of a circle whose length is equal to the radius of the circle is called the
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degree
radian
minute
second
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Question # 6
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A rational number
A irrational number
An even integer
A factor of 36
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Question # 7
The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is
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(√6,1)
(2,3)
(7,-2√6)
(4,-√6)
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Question # 8
Domain of 2 cos x is ______
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[-2, 2]
R
Negative real numbers
None of these
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Question # 9
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 10
If 4 sin
2
θ
=1, then values of
θ
are
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Question # 11
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Question # 12
The identity elements with respect to subtraction is
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0
1
-1
Does not exist
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Question # 13
When we expand (a + 2b)
5
then
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a
5
+ 10a
4
b + 40a
3
b
2
+ 80a
2
b
3
+ 80ab
4
+ 32b
5
a
5
+ a
4
b + a
3
b
2
+ a
2
b
3
+ ab
4
+ b
5
5a
5
+ 4a
4
b + 3a
3
b
2
+ 2a
2
b
3
+ 1 ab
4
+ b
5
None
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Question # 14
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Question # 15
The sum of co-efficient in (1+x-3x
2
)
4163
is
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0
1
-1
None
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Question # 16
If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in
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A. P.
G. P.
H. P.
None of these
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Question # 17
If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is
Choose an answer
5
Equal to the moment of the force about origin
0
Cannot be found
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Question # 18
Digit in the unit place of the number 183! + 3
183
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7
6
3
0
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Question # 19
The smallest positive root of the equation tan x - x = 0 lies on
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Question # 20
Archimedes approximate the function by horizontal function and the area under f by the sum of small
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Parallelograms
Squares
Retangles
Polygons
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Question # 21
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Question # 22
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (2,1) then
Choose an answer
d
1
= d
2
d
1
<d
2
d
1>
d
2
none of these
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Question # 23
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Question # 24
The equation of the circle with centre (5, -2) and radius 4 is
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(x-5)
2
+ (y+2)
2
= 16
(x-5)
2
+ (y+2)
2
= 4
(x-5)
2
+ (y-2)
2
= 16
(x-5)
2
+ (y-2)
2
= 4
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Question # 25
A function in which the second elements of the order pairs are distinct is called
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Onto function
One-one function
Identity function
Inverse function
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Question # 26
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Question # 27
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Question # 28
If f(x) = x
2
then f(-2) is
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-2
2
4
-4
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Question # 29
The point (1,3) is one solution of
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3x + 5y > 29
3x + 5y < 7
x + 2y < 4
x + 4y > 3
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Question # 30
Choose an answer
none of these
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Question # 31
The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0
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Same side
P above and origin below
Opposite side
P below and origin above
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