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Online Tests
Mathematics ECAT Pre Engineering Chapter 22 Circle Online Test MCQs With Answers
Question # 1
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Question # 2
The vertex of the cone is also called
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nappes
axis
rulings
apex
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Question # 3
If the cutting plane is slightly tilted and cuts only one nappe of the cone, the resulting section is
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an ellipse
a circle
a hyperbola
a parabola
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Question # 4
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Question # 5
If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is
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an ellipse
a circle
a parabola
a hyperbola
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Question # 6
The equation of the circle with centre at (5, -2) and radius 4 is
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Question # 7
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Question # 8
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a = b , h = 0
f = g, h = 0
h = h, c = 0
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Question # 9
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Question # 10
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None of these
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Question # 11
The fixed point which lies on the axis of the cone is called its
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axis
apex
nappes
axis
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Question # 12
If the centre of the circle is the origin, then equation of the cirlce is
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x
2
+ y
2
= 0
2gx + 2fy - c = 0
x
2
+ y
2
= r
2
gx + fy - c/2 = 0
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Question # 13
Apollonius was a
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rocket
Muslim scientist
Greek mathematicians
method of finding conics
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Question # 14
The equation: x
2
+ y
2
+ 2gx + 2fy + c = 0, represents
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pair of lines
a circle
a general second degree equation
a hyperbola
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Question # 15
A second degree equation in which coefficients of x
2
and y
2
are equal and there is no product term xy represents
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a parabola
a circle
an ellipse
a pair of lines
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Question # 16
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1
2
0
None of these
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Question # 17
To study conics, Pappus used the method of
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analytic geometry
solid geometry
Euclidean geometry
none of these
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Question # 18
If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve of intersection is
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a circle
an ellipse
a parabola
a hyperbola
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Question # 19
The set of all points in the plane that are equally distant from a fixed point is called a
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parabola
ellipse
hyperbola
circle
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Question # 20
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Question # 21
If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is
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an ellipse
a circle
a parabola
a hyperbola
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Question # 22
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Three Independent Variables
Two independent constant
Three independent parameters
Three independent constant
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Question # 23
The area of the circle centred at (1, 2) and passing through (4, 6) is
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Question # 24
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Question # 25
The equation of the circle whose centre is (-3, 5) and having 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
2
+y
2
+6x-10y-15=0
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Question # 26
If three non-collinear points through which a circle passes are known, then we can find the
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variables x and y
value of x and c
three constant f, g and c
inverse of the circle
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Question # 27
The generators of a cone are also called
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rulings
apex
nappes
ellipse
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Question # 28
A cone is generated by all lines through a fixed point and the circumference of
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a circle
an ellipse
a hyperbola
none of these
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Question # 29
IF the cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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circle
ellipse
hyperbola
parabola
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Question # 30
If a plane passes through the vertex of the cone, then the intersection is
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an ellipse
a parabola
a hyperbola
a point circle
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