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Online Tests
FA Part 2 Mathematics Chapter 6 Test Online MCQs With Answers
Question # 1
A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:
Choose an answer
4 cm
3cm
2.5cm
3.4cm
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Question # 2
If r is the radius of any circle and C its center, then any point P(x
1
, y
1
) lies outside the circle only if:
Choose an answer
|CP| < r
|CP| = r
|CP| > r
None of these
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Question # 3
The focus of the parabola y
2
=-4ax is:
Choose an answer
(-a , 0)
(0, a)
(0, -a)
(a, 0)
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Question # 4
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 # 5
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 # 6
The condition for the line y = mx + c to be a tangent to the circle x
2
+ y
2
= a
2
is c = _____________:
Choose an answer
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Question # 7
Point p (-5, 6) lies ............ the circle x
2
+ y
2
+ 4x - 6y - 12 = 0
Choose an answer
Outside
Inside
On
None of these
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Question # 8
The opening of the parabola x
2
= 4ay is upward of the:
Choose an answer
x -axis
y = c
y - axis
x = y
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Question # 9
The axis of the parabola y
2
= -4ax is:
Choose an answer
x = a
x = 0
y = a
y = 0
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Question # 10
The directrix of the parabola x
2
= -4ay is:
Choose an answer
x = a
x = -a
y = a
y = -a
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Question # 11
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 # 12
The vertex of the parabola y
2
= 4ax is:
Choose an answer
(-a, 0)
(a, 0)
(0, -a)
(0, 0)
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Question # 13
A line that touches the curve without cutting through it is called:
Choose an answer
Straight line
Tangent line
Normal line
Vertical line
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Question # 14
In the case of translation of axes which formula is true:
Choose an answer
x = X - h
x = X + h
x + X = h
None
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Question # 15
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 # 16
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 # 17
In the case of rotation of axes which formula is true:
Choose an answer
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Question # 18
The vertex of the parabola y
2
= -4ax is:
Choose an answer
(-a, 0)
(a, 0)
(0, -a)
(0, 0)
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Question # 19
If r is the radius of the circle and its center is at origin, then equation of circle is:
Choose an answer
x
2
+ y
2
= a
2
x
2
+ y
2
= r
2
x
2
- y
2
= a
2
x
2
- y
2
= r
2
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Question # 20
The vertex of the parabola x
2
= -4ay is:
Choose an answer
(a, 0)
(0, 0)
(0, -a)
(0, a)
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Question # 21
The two parts of a right circular cones are called:
Choose an answer
Nappes
Apex of the cone
Generator
Vertex
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