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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
3/4
r
v
None of these
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Question # 2
The fixed point from which all the points of a circle are equidistant is called the
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chord of the circle
centre of the circle
diameter of the circle
radius of the circle
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Question # 3
(n + 2) (n + 1) n= ______
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Question # 4
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4A - 3I
3A - 4I
A - I
None of these
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Question # 5
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Question # 6
Domain of 3 sin x is ______
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[-3, 3]
R
Positive real numbers
None of these
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Question # 7
If A is singular then |A| = ______
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1
0
2
None of these
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Question # 8
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3K
K2
K3
K
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Question # 9
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Question # 10
If f(x) = ax
2
, and a>0, then the lowest point on the parabola is called.
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Vertex of parabola
Co-ordinates of parabola
Roots of the equation
Coefficient of the equation
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Question # 11
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Question # 12
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Less then 1
Equal to 1
Greater than 1 but less then 2
Greater then or equal to 2
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Question # 13
f(x) = log x + 3 is a
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 14
What is the period of sin 2x/3 cos 4x=?
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π
2π
π/2
π/3
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Question # 15
x = sin
-1
3, then the value of sin x is
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√(3/2)
3
Not possible
-1
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Question # 16
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Question # 17
If the radius of a circle is increased by 1 then area of circle will be
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π r2
π(r+1)2
π r2 +1
2π (r+1)
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Question # 18
Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is
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2 / 19
3 / 29
17 / 19
4 / 19
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Question # 19
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Question # 20
Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then
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A = B
B = C
A≠ C
A ≠ B
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Question # 21
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Question # 22
If either A = 0 or B =0,then Ax2 +By2 +2Gx +2Fy +c =0 represents a
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Circle
Hyperbola
Ellipse
Parabola
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Question # 23
The expansion of (1 + 2x)
-2
is valed if
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| x | < 1/2
| x | < 1
| x | < 2
| x | < 3
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Question # 24
If the roots of ax
2
- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is
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Question # 25
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1
0
3
-1
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Question # 26
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Question # 27
p(x) = 2x
4
- 3x
3
+ 2x - 1 is polynomial of degree
Choose an answer
1
2
3
4
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Question # 28
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Question # 29
The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on
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ZOX plane
XOY plane
YOZ plane
None of these
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Question # 30
The set { 1 , -1} is closed w.r.t.
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Addition
Multiplications
Subtraction
None of these
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Question # 31
The set of real numbers is a subset of
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The set of natural numbers
The set of rational numbers
The set of integers
The set of complex numbers
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