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Online Tests
FA Part 2 Mathematics Chapter 6 Test Online MCQs With Answers
Question # 1
Two imaginary tangents can be drawn to a circle from any point P(x
1
, y
1
) _______ the circle:
Choose an answer
Inside
On
Outside
None of these
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Question # 2
The equ. of directrix of the parabola y
2
= -4ax is:
Choose an answer
x = a
x = - a
y = a
y = -a
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Question # 3
Choose an answer
0
4
7
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Question # 4
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 # 5
The graph of the parabola y
2
= -4ax lies in quadrants:
Choose an answer
I and II
III and IV
II and III
I and III
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Question # 6
If the radius of a circle is zero, then the circle is called a / an:
Choose an answer
Circle
Circular cone
Ellipse
Point circle
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Question # 7
A chord passing through the focus of a parabola is called a ________ of the parabola:
Choose an answer
Directrix
Latus rectum
Focus
Focal chord
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Question # 8
Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:
Choose an answer
1 cm
7cm
4cm
5cm
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Question # 9
The radius of circle x
2
+ y
2
+ ax + by + c = 0 is:
Choose an answer
None
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Question # 10
If a point lies inside a circle, then its distance from the center is:
Choose an answer
Equal to the radius
Less then the radius
Greater then the radius
Equal to or greater than the
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Question # 11
Choose an answer
4a
2a
4b
2b
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Question # 12
A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:
Choose an answer
Secant
Diameter
Chord
Tangent
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Question # 13
The vertex of parabola (x - 1)
2
= 8 (y + 2) is:
Choose an answer
(1, -2)
(0, 1)
(-1, -2)
(1, 2)
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Question # 14
In equation of circle, coefficient of each of x
2
and y
2
are:
Choose an answer
Not equal
Opposite in signs
Equal
None of these
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Question # 15
If the equation of the parabola is x
2
= 4ay, then opening of the parabola is to _______ of the x-axis:
Choose an answer
Left
Upward
Right
Downward
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Question # 16
The graph of the the parabola x
2
= 4ay lies in quadrant:
Choose an answer
I and II
III and IV
II and III
I and III
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Question # 17
The graph of the parabola y
2
= -4ax is symmetric about:
Choose an answer
x-axis
major axis
y-axis
minor axis
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Question # 18
The equation x
2
+ y
2
+ 2x + 3y = 10 represents a:
Choose an answer
A pair of lines
Circle
Ellipse
Hyperbola
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Question # 19
The equation of the latus-rectum of the parabola y
2
= 4ax is:
Choose an answer
x = a
x = -a
y = a
y = -a
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Question # 20
The center of circle (x+3)
2
+ (y-2)
2
= 16 equals:
Choose an answer
(-3, 2)
(3, -2)
(3, 2)
(-3, -2)
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Question # 21
Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.
Choose an answer
Equal
Double
Not equal to
Triple
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