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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
tan (-135°) = ______
θ
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0
1
2
3
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Question # 2
The end points of the major axis of the ellipse are called its
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Foci
Vertices
Co - vertices
None of these
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Question # 3
The distance of the point (a,b) from y-axis is
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a
b
a + b
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Question # 4
The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is
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θ = 30°
θ = 45°
θ = 60°
θ = 75°
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Question # 5
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 6
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Question # 7
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 8
In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are
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6, 10
-6, -10
8, 8
-8, -8
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Question # 9
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a constant function
linear function
quadratic funtion
none of these
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Question # 10
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Question # 11
Range of tan
θ
is
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Set of complex numbers
Set of real numbers
Set of odd numbers
Set of positive integers only
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Question # 12
The obtuse angle between lines = -2 and y = x +2 is
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120°
135°
150°
140°
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Question # 13
Three points whose position vector a,b,c are collinear
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axb +b x c+ c x a = 0
a,b +b,c +c,a =0
a,|a xc| =0
a+b+c =0
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Question # 14
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are
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Question # 15
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Question # 16
∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of
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Commutative law of addition
Associative law of addition
Additive identity
Additive inverse
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Question # 17
If p and q are two statements then their biconditional 'p if q' is denoted by
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Question # 18
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Question # 19
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Always negative
Zero
Always positive
Infinity
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Question # 20
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Question # 21
The equation |x + 4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 22
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none of these
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Question # 23
If P is a proposition then its negative is denoted by
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Question # 24
The point of concurrency of the angle bisectors of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 25
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Question # 26
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Question # 27
If a
x
= b
y
= c
z
and a, b, c are in G.P. then x, y, z are in
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A.P.
G.P.
H.P.
None of these
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Question # 28
a >b ⇒a +c >b +c is known as
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Trichotomy property
Additive property of inequality
Transitive property
Multiplicative property
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Question # 29
An equation which hold good for all values of the variables is called
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Identity
fraction
mixed form
Partial equation
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Question # 30
Which is the proper rational function
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Question # 31
If a
n
= 2n -3, write the first four terms
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-3, -1, 1, 3
1, 3, 5, 7
-1, 1, 3, 5
None of these
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