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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The multiplicative inverse of 1 - 2i is
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Question # 2
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Question # 3
the latus rectum of the parabola x
3
= -4ay is:
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x = a
y = -a
x = -a
y = 0
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Question # 4
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Question # 5
If y = sin (ax + b), then fourth derivative of y with respect to x =
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a
4
cos (ax + b)
a
4
sin (ax + b)
-a
4
sin (ax + b)
a
4
tan (ax + b)
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Question # 6
If you are looking a high point from the ground, then the angle formed is
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Angle of elevation
Angle of depression
Right angle
Horizon
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Question # 7
x
3
+ 2x
2
- 3x + 5 is ______
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An equation
A polynomial
Proper rational fractions
Improper rational fractions
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Question # 8
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I and III quadrants
II and III quadrants
I and II quadrants
II and IV quadrants
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Question # 9
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Question # 10
If in a set of real no a is multiplicative identity then
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a,a = a
2
a,a = 1
a,a = 0
None of these
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Question # 11
Range of tan x is ______
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[-1, -]
R
Negative real numbers
R - {x | - 1 < x < 1}
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Question # 12
0! = ______
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0
1
2
Not defined
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Question # 13
A square is inscribed in the circle x
2
+ y
2
- 2x + 4y + 3 =0. Its sides are parallel to the co-ordinate axes. Then one vertex of the square is
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Question # 14
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Y = -x log x -x + c
Y = x log x + x
Y = x log x - x + c
None of these
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Question # 15
The solution set of the equation |3x + 2| = 5 is
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Question # 16
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Question # 17
A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is
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Question # 18
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Question # 19
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Question # 20
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p < r
p > rr
p + r < 0
p - r < 0
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Question # 21
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Question # 22
If cos
α
= 4/5, then cos
α
/2
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Question # 23
If A = {x / x ∈ R ∧ x
2
- 16 = 0} then A =
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- x
Infinite set
Φ
{-4,4}
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Question # 24
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1
2
-2
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Question # 25
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Question # 26
A number A is said to be the A.M between the two numbers a and b if a, A, b are in
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A.M
A.P
G.P
G.M
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Question # 27
(a-1)-1 =
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a-1
a
-a
None of above
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Question # 28
The only function which is both even and odd is
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f(x) =α
f(x) = x
f(x) =0
Both A & B
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Question # 29
If a,b,c are unit vectors then |a + b|2 +|a - b|2
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4
8ab
9cos
4(a,b)
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Question # 30
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Question # 31
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n!
0!
1
None of these
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