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Online Tests
Ics 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 conic is a parabola, if:
Choose an answer
e = 1
e > 1
0 < e < 1
e = 0
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Question # 3
Equation of axis of the parabola x
2
= 4ay is:
Choose an answer
x = 0
x = a
y = 0
y = a
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Question # 4
Choose an answer
Circle
Parabola
Hyperbola
Ellipse
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Question # 5
In the case of rotation of axes which formula is true:
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Question # 6
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Question # 7
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 # 8
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 # 9
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 # 10
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 # 11
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:
Choose an answer
x
2
= 4ay
y
2
= 4ax
-x
2
= 4ay
-y
2
= 4ax
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Question # 12
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 # 13
y
2
= 4ax, is the standard equation of the:
Choose an answer
Ellipse
Parabola
Hyperbola
None of these
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Question # 14
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 # 15
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 # 16
The axis of the parabola y
2
= 4ax is:
Choose an answer
x = 0
x = a
y = 0
y = a
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Question # 17
The focus of the parabola x2=-4ay is:
Choose an answer
(-a , 0)
(0, a)
(0, -a)
(a, 0)
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Question # 18
Two arcs of two different circles are congruent if:
Choose an answer
The circles are congruent
The corresponding central angles are congruent
Both a and b
None of the above
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Question # 19
A line segment joining two distinct points on a parabola is called a ___________ of the parabola:
Choose an answer
Chord
Vertex
Focus
Directrix
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Question # 20
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 # 21
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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