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Online Tests
FA Part 2 Mathematics Chapter 6 Test Online MCQs With Answers
Question # 1
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 # 2
The equi. of 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 # 3
If a circle and a line intersect in two points, then the line is called:
Choose an answer
A chord
A secant
A diameter
None of these
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Question # 4
the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:
Choose an answer
Directrix
Latus rectum
Focus
Focal chord
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Question # 5
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 # 6
The length of the latus rectum of the parabola y
2
= 4ax is:
Choose an answer
a
4a
2a
None of these
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Question # 7
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 # 8
If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:
Choose an answer
Parabola
Hyperbola
Ellipse
None of these
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Question # 9
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 # 10
A chord containing the center of the circle is called ______ of the circle:
Choose an answer
Diameter
Chord
Radius
None of these
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Question # 11
The point of a parabola which is closest to the focus in the:
Choose an answer
Directrix
Vertex
Focus
Chord
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Question # 12
The parabola y
2
= 4ax lies in quadrants:
Choose an answer
I and II
III and IV
II and III
I and IV
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Question # 13
The center of circle x
2
+ y
2
+ 2gx + 2fy + c = 0 is:
Choose an answer
(-g, -f)
(-f, -g)
(0, 0)
(g, f)
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Question # 14
Choose an answer
Circle
Parabola
Hyperbola
Ellipse
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Question # 15
The axis of the parabola x
2
= -4ay is:
Choose an answer
x = a
x = 0
y = a
y = 0
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Question # 16
Choose an answer
x = 0
y = -a
y = 0
y = -a
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Question # 17
The vertex of the parabola x
2
= 4ay is:
Choose an answer
(-a, 0)
(0, a)
(0, -a)
(0, 0)
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Question # 18
The opening of the parabola x
2
= 16y is to __________ of the x-axis:
Choose an answer
Left
Upward
Right
Downward
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Question # 19
Length of tangent from (a, 0) to the circle x
2
+ y
2
+ 2gx + 2fy + c = 0 is:
Choose an answer
c
2g + 2f -c
None
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Question # 20
If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:
Choose an answer
x-axis
y = x
y-axis
x + y =0
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Question # 21
If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:
Choose an answer
Ellipse
Circular cone
Circle
Point circle
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