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FA Part 2 Mathematics Full Book Test Online MCQs With Answers
Question # 1
f(x) is odd function. If and only if:
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f(-x) = -f(x)
f(-x) = f(x)
f(x) = 3f(-x)
f(x) = -3f(-x)
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Question # 2
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cot x
- cot x
cosec x cot x
-cosec x cot x
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Question # 3
The focus of the parabola x2=-4ay is:
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(-a , 0)
(0, a)
(0, -a)
(a, 0)
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Question # 4
If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:
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x
2
= 4ay
y
2
= 4ax
-x
2
= 4ay
-y
2
= 4ax
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Question # 5
If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:
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Parabola
Hyperbola
Ellipse
None of these
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Question # 6
A pair of lines of homogeneous second degree equation ax
2
+ 2hxy + by
2
= 0 are othogonal, if:
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a - b = 0
a + b = 0
a + b > 0
a - b < 0
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Question # 7
The opening of the parabola y
2
= 4ax is to the ________ of the:
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Left
Upward
Right
Downward
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Question # 8
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4a
2a
4b
2b
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Question # 9
Equation of axis of the parabola x
2
= 4ay is:
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x = 0
x = a
y = 0
y = a
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Question # 10
In equation of circle, coefficient of each of x
2
and y
2
are:
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Not equal
Opposite in signs
Equal
None of these
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Question # 11
If the radius of a circle is zero, then the circle is called a / an:
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Circle
Circular cone
Ellipse
Point circle
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Question # 12
Two arcs of two different circles are congruent if:
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The circles are congruent
The corresponding central angles are congruent
Both a and b
None of the above
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Question # 13
If 2 and 2 are x and y-components of a vector, then its angle with x-axis is:
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30°
45°
60°
90°
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Question # 14
The inequality x < a is the open half plane to the __________ of the boundary line x = a:
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Above
Left
Below
Right
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Question # 15
Length of tangent from (0,1) to x
2
+ y
2
+ 6x - 3y + 3 = 0
Choose an answer
2
1
4
3
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Question # 16
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Question # 17
If the inclination of a line lies between ]90°, 180°[, then the slope of line is :
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Positive
Negative
Zero
undefined
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Question # 18
ax + by < c is an inequality of:
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One variable
Threevariable
Twovariable
Fourvariable
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Question # 19
The point where the axis meets the parabola is called ________ of the parabola:
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Directrix
Vertex
Focus
Eccentricity
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Question # 20
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Question # 21
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Implicit
Explicit
Exponential
Logarithmic
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