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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The differential equation of all st. lines which are at a constant distance to form the origin is
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Question # 2
An equation which holds good for all values of variables is called
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Equation
Conditional equation
Constant
None
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Question # 3
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Question # 4
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Question # 5
The principal value of sin-1√(3/2) is
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-π/3
π/3
2π/3
π/2
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Question # 6
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Question # 7
The sum of the roots of the equation x2 -6x +2 = 0 is
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-6
2
-2
6
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Question # 8
Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8
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Associative property of addition
Associative property of multiplication
Additive identity
Multiplicative identity
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Question # 9
Sum of all the four forth roots of unity is
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1
-1
i
0
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Question # 10
One root of the equation cos x - x + 1/2 = 0 lies in the interval
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Question # 11
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A
-A
A
t
A
-
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Question # 12
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 # 13
In R the left cancellation property w.r.t addition is
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Question # 14
∫Sec
2
(ax + b) dx is equal to:
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tan
2
(ax + b)
1/a tan
2
(ax + b)
1/atan (ax +b)
tan (ax + b)
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Question # 15
An equation of the form ax + by = k is homogeneous linear equation when
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b = 0, a = 0
a = 0,b ≠ 0
b = -0,a≠ 0
a≠ 0,b≠ 0, k = 0
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Question # 16
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0
1
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Question # 17
The roots of the equations will be equal if b
2
- 4ac is
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Positive
Negative
1
Zero
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Question # 18
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 19
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 20
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0
-1
1
not defined
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Question # 21
Coordinates of the focus of the parabola x
2
- 4x -8y-4=0 are:
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(0,2)
(,0,1)
(2,0)
(1,2)
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Question # 22
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 23
A function of the form p(x)/Q(x) is called:
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Rational function
Logarithmic function
Exponential function
Hyperbolic function
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Question # 24
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Reflexive property
Symmetric property
Transitive property
Additive property
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Question # 25
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Question # 26
The maximum value of 12 sin
θ
-9 sin
2
θ
is x
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3
4
5
None of these
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Question # 27
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Question # 28
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Question # 29
If one root of the equation ix
2
- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is
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-i
2 + i
i
2 - i
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Question # 30
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Improper rational fraction
Rational fraction
Proper rational fraction
None of above
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Question # 31
The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the
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Angle of depression
Angle of elevation
Acute angle
Obtuse angle
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