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ECAT Mathematics Online Test MCQs With Answers
Question # 1
We solve 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 # 2
cos 6θ + cos 2 θ =_______;
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-2sin 4θ sin 2θ
2cos4θ cos2θ
2sin4θ cos2θ
2cos4θ sin2θ
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Question # 3
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Question # 4
The distance of point P(x,y) from focus in a parabola
y
2
=4ax, is:
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2a
a
x + a
x-a
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Question # 5
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A
A'
U
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Question # 6
If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to
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12
9
6
3
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Question # 7
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Question # 8
A triangle which is not right is called an ______ triangle
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Acute
Obtuse
Oblique
None of these
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Question # 9
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-2
-1
1
2
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Question # 10
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0
1
8
∞
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Question # 11
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Question # 12
The eccentricity of parabola is:
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1
0
Greater than 1
Less than 1
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Question # 13
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a cos(ax + b) + c
- a cos(ax + b) + c
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Question # 14
I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:
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x
2
= 4ay
y
2
= 4ax
y
2
= -4ax
x
2
= 4ax
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Question # 15
The positive integer just greater than (1+0.0001)
10000
is
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4
5
2
3
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Question # 16
If you are looking a high point from the ground, then the angle formed is
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Angle of elevation
Angle of depression
Right angle
Horizon
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Question # 17
i
3
=
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-1
i
-i
1
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Question # 18
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An ellipse
A parabola
A circle
A hyperbola
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Question # 19
If the roots of x
2
+ ax + b = 0 are non-real, then for all real x, x
2
+ ax + b is
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Negative
Positive
Zero
Nothing can be said
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Question # 20
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Question # 21
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A finite non-empty set
Null set
Both a and b
None of these
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Question # 22
A circle passing through the vertices of any triangle is called
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Circumcirle
Incircle
Escribed circle
Unit circle
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Question # 23
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π
π / 2
π / 3
π / 4
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Question # 24
The lotus of intersection of perpendicular tangents to the parabola y
2
= 4ax is:
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Axis of the parabola
Focal chord of the parabos
The tangent at vertex of the parabola
a directrix of the parabola
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Question # 25
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Question # 26
Which shape of the following objects are approximately parabolic ares?
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Light reflectors
Force
Weight of the pendul
None of these
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Question # 27
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(a + b)c = a . c + bc
a + b = b + a
(a + b) + c = a + (b + c)
a(b+ c) = ab + ac
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Question # 28
Which of the following does not represent absolute value of a vector
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magnitude
length
norm
number
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Question # 29
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Question # 30
The symbol ______ shall be used both for equation and identity
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Question # 31
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none of these
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