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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
x =r cosθ,y= sinθ are the parametric equations of
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Circle
Ellipse
Parabola
Hyoerbola
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Question # 2
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1
-1
0
None of these
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Question # 3
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Question # 4
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Question # 5
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1
-1
0
I
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Question # 6
√2 +√3 +√5) = (√2 +√3 +√5: this property is called
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associative property w.r.t addition
commutative property
Closure property w.r.t addition
Additive identity
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Question # 7
The equation x
2
+ y
2
= 0 represents
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A circle
A degenerate circle
An empty set
A st. line
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Question # 8
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Question # 9
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 10
If x,y are two -ve distinct numbers then
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A>G>H
A<G<H
A=G=H
None of these
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Question # 11
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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Parabola
Circle
Hyperbola
Ellipse
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Question # 12
nCn-r is equal to
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n!
n-1Cr
nCr
None of these
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Question # 13
If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is
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1 x 1
1 x 10
10 x 10
10 x 1
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Question # 14
The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called
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Constant function
Polynomial function
Identity function
Linear function
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Question # 15
Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is
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k = 9
k = ±9
k=-9
k=11
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Question # 16
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Always negative
Zero
Always positive
Infinity
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Question # 17
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Question # 18
sin(π/2+θ) = _______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 19
Some of two real numbers is also a real number , this property is called:
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Commutative property w.r.t addition
Closure property w.r.t. addition
Associative property w.r.t. addition
Distributive property w.r.t addition
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Question # 20
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 # 21
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A
-A
A
t
A
-
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Question # 22
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none of these
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Question # 23
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none of these
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Question # 24
If x = 1/x for x ∈ R then the value of x is
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±1
0
2
4
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Question # 25
If the terminal rays of an angle falls on any axis then the angle is called
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Allied angle
Acute angle
Standard position
Quadrantal angle
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Question # 26
The 7th term of (3
8
+ 6
4
x)
11/4
is
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-19217/3 x
6
189/2 6
4
x
2227/12 x
3
-19712/3 x
6
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Question # 27
The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is
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2 x 3
3 x 2
2 x 5
5 x 2
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Question # 28
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Question # 29
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Question # 30
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Question # 31
Which of the following is a scalar.
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force
frequency
weight
acceleration
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