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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The obtuse angle between lines = -2 and y = x +2 is
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120°
135°
150°
140°
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Question # 2
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Question # 3
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Associative law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 4
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Question # 5
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 6
2π is the period of
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sin𝜽
tan𝜽
cot𝜽
all circular function
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Question # 7
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
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a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 8
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 # 9
If |a x b|2 + (a,b)2 = _____
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|a|2 + |b|2
|a|2- |b|2
|a|2|b|2
None
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Question # 10
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Question # 11
The unit vector along y-axis is
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none of these
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Question # 12
∀a,b,c∈R and c>0,then
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a>b ⇒ ac < bc
a>b ⇒ ac > bc
a<b ⇒ ac > bc
None of these
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Question # 13
The set of integer is
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Finite group
A group w.r.t addition
A group w.r.t multiplication
Not a group
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Question # 14
The multiplicative inverse of 1 - 2i is
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Question # 15
n different objects can be arranged taken all at a time in ______
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(n + 1)! ways
(n - 1)! ways
n! ways
n ways
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Question # 16
The eccentricity of parabola is:
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1
0
Greater than 1
Less than 1
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Question # 17
The point _________ is in the solution of the inequality 2x + 3y < 5
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(1,1)
(2,2)
(0,1)
(0,2)
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Question # 18
Roots of the equation x
2
- 7x + 10 = 0 are
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{2, 5}
{-2, 5}
{2,5}
{-2,-5}
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Question # 19
The common ration of a geometric sequence cannot be
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0
1
2
3
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Question # 20
The law of sines can be used to solve
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Right angle triangle
Isosceles triangle
oblique triangle
haxagon
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Question # 21
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Associative law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 22
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28 / 81
28 / 243
81 / 28
243 / 82
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Question # 23
(0.90)
1/2
is equal to
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0.99
0.90
0.80
0.88
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Question # 24
A circle is a limiting case of an ellipse whose eccentricity
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Tends to a
Tends to b
Tends to 0
Tends to a + b
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Question # 25
The polar form of complex number x ≠ I y =
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r cos θ+ r sin θ
r cos θ+ is sin θ
cos θ+ r sin θ
i cos θ+ i sin θ
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Question # 26
{1, 2, 3} is _____
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an infinite set
A finite set
A singleton set
Universal set
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Question # 27
22.5°=______
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Question # 28
Three consecutive terms of a progression are 30, 24, 20. The next terms of the progression is
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Question # 29
A quadratic equation in x is an equation that can be witten in the form
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ax
2
+ b = 0
ax
3
+b
2
+c=0
ax
2
+bx+c=0
ax
3
+bx
3
+cx=0
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Question # 30
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quadrant I
quadrant II
quadrant III
quadrant IV
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Question # 31
The constant distance of all points of the circle from its centre is called the
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Radius of the circle
Secant of the circle
Chord of the circle
Diameter of the circle
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