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ECAT Pre General Science Mathematics Chapter 23 Conic Section Online Test MCQs With Answers
Question # 1
Choose an answer
1
5
7
9
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Question # 2
The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if
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a≠ b,h≠0
a=b
h≠0
h=0
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Question # 3
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Question # 4
The tangents drawn from the point P to a circle are real and coincident if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 5
The point where the axis meets the parabola is called
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Directrix
Foucu
Chord
Vertix
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Question # 6
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none of these
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Question # 7
The number of standard parabolic functions are is
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4
2
3
1
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Question # 8
The line y =mx +1 is tangent to the parabola y2 =4x if
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m=1
m=2
m=3
m=4
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Question # 9
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Question # 10
For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0
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k=0
k=0 or 26
k = 26
k=-13
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Question # 11
The perpendicular bisector of any chord of a circle
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Passes through the centre of the circle
Does not pass through the centre of the circle
May or may not pass through the centre of the circle
None of these
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Question # 12
The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at
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(acos a,asin a)
(a,0)
(cos a,sin a)
(0,0)
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Question # 13
A line joining two distinct points on a parabola is called
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Axis
Directrix
Chord
Tangent
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Question # 14
The equation of the normal to the circle x
2
+ y
2
= 25 at (4, 3) is
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3x - 4y =0
3x - 4y =5
4x + 3y = 5
4x + 3y = 25
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Question # 15
The axis of the parabola x
2
= 4ay is:
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y = 0
x = 0
x = -a
y = a
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Question # 16
Choose an answer
11
61
1
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Question # 17
The line through the focus and perpendicular to the directrix is called ______ of the parabola
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axis
focal chord
tangent
latus rectum
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Question # 18
Conic sections or simply conics are the curves obtained by cutting a right circular cone by
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a line
two lines
a plane
two planes
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Question # 19
The length of the tangent from (2, 1) to the circle x
2
+ y
2
+ 4y + 3 = 0 is
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Question # 20
The point on y
2
= 4ax nearest to the focus has its abciassae equal to
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-a
a
a/2
0
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Question # 21
Latus rectum = 4 x ______________
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focal distance of the vertex
Chord
Focus
1/2
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Question # 22
The equation ax
2
+ 2hxy + by
2
+2gx + 2fy + c =0 represents an ellipse if
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Question # 23
Number of conics is
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1
3
2
4
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Question # 24
If a plane passes through the vertex of a cone then the intersection is
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an ellipse
a hyperbola
a point circle
a parabola
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Question # 25
The two different parts of the hyperbola are called its
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Vertices
Directrices
Nappes
Branches
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Question # 26
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Question # 27
If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 28
A line joining two distinct points on a parabola is called a ______ of the parabola.
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Chord
Tangent
Lust rectum
directrix
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Question # 29
The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is
Choose an answer
2
1
0
None of these
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Question # 30
The constant distance of all points of the circle from its centre is called the
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radius of the circle
secant of the circle
chord of the circle
diameter of the circle
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Question # 31
Two tangents drawn from (2,3) to the circle x2+y2 =9 are
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Real and distinct
Imaginary
Real and coincident
None of these
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