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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
A triangle which is not right angle is called ______ triangle
Choose an answer
acute
Obtuse
Right
Oblique
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Question # 2
General solution of 1 + cos x = 0 is
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Question # 3
A relation in which the equality is true for all values of the unknown is called ______
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An identity
An equation
A polynomial
None of these
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Question # 4
If f (x) = 2x+1 then fof (x) = _______;
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4x+3
2x +3
4x +1
None of these
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Question # 5
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Question # 6
The solution of the equation cos
2
θ
+ sin
θ
+ 1 = 0 lies in the interval
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Question # 7
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Question # 8
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Question # 9
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Question # 10
The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is
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A parabola
A circle
An ellipse
A st. line
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Question # 11
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Question # 12
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Question # 13
The line 3x - 4y = 0
Choose an answer
Is a tangent to the circle x
2
+ y
2
= 25
Is a normal to the circle x
2
+ y
2
=25
Does not meet the circle x
2
+ y
2
= 25
Does not pass thro' the origin
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Question # 14
The statement that a group can have more than one identity elements is
Choose an answer
True
False
Fallacious
Some times true
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Question # 15
We also the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a, b and c
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Question # 16
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Question # 17
∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a
Choose an answer
Symmetric property
Cancellation property w.r.t multiplication
Reflexive property
Transitive property
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Question # 18
Choose an answer
1
0
-1
2
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Question # 19
If A is a non-singular matrix then adj A is
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Non-singular
Symmetric
Singular
Non defined
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Question # 20
Derivative of a w.r.t x is
Choose an answer
0
1
x
x
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Question # 21
∛8.6 is approximately equal to
Choose an answer
2.488
2.48
2.0488
2.05
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Question # 22
A rule that assigns to each elements x in X a unique element y in Y is called a ____________
Choose an answer
domain
range
function
none of these
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Question # 23
In polar form of complex number r =
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Question # 24
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Question # 25
1 radian = _____
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60°
57.296°
57.2°
180°
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Question # 26
The straight line passing through the focus and perpendicular to the directrix of the conic is known as its
Choose an answer
Tangent
axis
Focal chord
major or manor axis
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Question # 27
If in a set of real no a is additive identity then
Choose an answer
a+a = 2a
a+a = 1
a+a = 0
None of these
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Question # 28
What is the period of 5 cot x=?
Choose an answer
π
-π
π/2
2π
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Question # 29
The number of divisors of 1029, 1547 and 122 are in
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A.P.
G.P.
H.P.
None of these
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Question # 30
Choose an answer
0
1
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Question # 31
The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is
Choose an answer
0.4cm
8.8πcm
17.6 πcm
35.2πcm
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