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ECAT Pre General Science Mathematics Chapter 23 Conic Section Online Test MCQs With Answers
Question # 1
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Question # 2
A chord passing through the centre of the circle is called
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the secant of the circle
the tangent of the circle
the arc of the circle
the diameter of the circle
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Question # 3
The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet
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x =0
y =0
x =-9
y = -a
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Question # 4
A circle is a limiting case of an ellipse whose eccentricity
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Tends to a
Tends to b
Tends to 0
Tends to a + b
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Question # 5
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Question # 6
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11
61
1
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Question # 7
The equation of the parabola with directirx x = 2 and the axis y = 0 is
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y
2
= 8x
y
2
= -8x
y
2
= 4x
y
2
= -4x
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Question # 8
I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:
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x
2
= 4ay
y
2
= 4ax
y
2
= -4ax
x
2
= 4ax
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Question # 9
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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parabola
circle
hyperbola
ellipse
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Question # 10
The equation of the circle witch centre (-3, 5) and radius 7 is
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(x-3)
2
+ (y+5)
2
= 7
2
(x-3)
2
+ (y-5)
2
= 7
2
(x+3)
2
+ (y+5)
2
= 7
2
(x+3)
2
+ (y-5)
2
= 7
2
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Question # 11
The area of the circle centred at (1,2) and passing through (4,6) is
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30 πsq.units
5π sq.units
15π sq.units
25π sq.units
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Question # 12
Intersection of two parabolas
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parabola
Two points
Four points
Hyperobla
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Question # 13
The straight line passing through the focus and perpendicular to the directrix of the conic is known as its
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Tangent
axis
Focal chord
major or manor axis
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Question # 14
the latus rectum of the parabola x
3
= -4ay is:
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x = a
y = -a
x = -a
y = 0
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Question # 15
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
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Question # 16
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c = 0
c = -1
c = -2
c = 1
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Question # 17
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Question # 18
The ellipse and hyperbola are called
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Concentric conics
Central conics
Both a b
None
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Question # 19
Coordinates of the focus of the parabola x
2
- 4x -8y-4=0 are:
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(0,2)
(,0,1)
(2,0)
(1,2)
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Question # 20
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Question # 21
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c = 0
c = -1
c = -2
c = 1
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Question # 22
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Question # 23
Co-ordinate of a point on the parabola y
2
= 8x whose focal distance is 4 are:
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(2 , 4)
(-2 ,-4)
(-2, 4)
(2,-4)
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