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ECAT Pre General Science Mathematics Chapter 23 Conic Section Online Test MCQs With Answers
Question # 1
Choose an answer
none of these
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Question # 2
The tangents drawn from the point P to a circle are real and distinct if
Choose an answer
P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 3
Choose an answer
(-6,4)
(-3,2)
(6,-4)
(3, -2)
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Question # 4
If (2, 3) and (2, 5) are end points of a diameter of a circle, then the centre of the circle is
Choose an answer
(2, 4)
(4, 8)
(0, 2)
(0, -2)
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Question # 5
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 # 6
The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if
Choose an answer
A = B≠ 0
A≠ B and both are of same sign
A≠ B both are of opposite sign
Either A = 0 or B =0
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Question # 7
The constant distance of all points of the circle from its centre is called the
Choose an answer
Radius of the circle
Secant of the circle
Chord of the circle
Diameter of the circle
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Question # 8
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 # 9
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Question # 10
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Question # 11
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Question # 12
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Question # 13
the latus rectum of the parabola x
3
= -4ay is:
Choose an answer
x = a
y = -a
x = -a
y = 0
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Question # 14
If a > 0 they parabola y2 =-4ax lies in
Choose an answer
I and iv quadrant
I quadrant
II and III quadrant
All are incorrect
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Question # 15
Which shape of the following objects are approximately parabolic ares?
Choose an answer
Light reflectors
Force
Weight of the pendul
None of these
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Question # 16
The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if
Choose an answer
c =±√2
c =0
c=±√17
c=±√15
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Question # 17
The eccentricity of the parabola y
2
= -8x is
Choose an answer
-2
2
-1
1
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Question # 18
Choose an answer
An ellipse
A parabola
A circle
A hyperbola
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Question # 19
If (0, 0) and (0, -1) are end points of a diameter, then the equation of the circle is
Choose an answer
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Question # 20
The length of the tangent from (2, 1) to the circle x
2
+ y
2
+ 4y + 3 = 0 is
Choose an answer
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Question # 21
Choose an answer
1
5
7
9
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Question # 22
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(g,f)
(-g,f)
(g,-f)
(-g,-f)
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Question # 23
The common point to four standard parabolas
Choose an answer
Focus
Centre
Vertex
P(x,y)
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Question # 24
The end points of the major axis of the ellipse are called its
Choose an answer
Foci
Vertices
Co - vertices
None of these
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Question # 25
The span of a standard parabola depends upon
Choose an answer
x
a
y
y2
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Question # 26
If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to
Choose an answer
12
9
6
3
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Question # 27
The radius of the circle (x - 1)
2
+ (y + 3)
2
= 61 is
Choose an answer
8
4
64
None of these
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Question # 28
The number of standard parabolic functions are is
Choose an answer
4
2
3
1
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Question # 29
The line y =mx +1 is tangent to the parabola y2 =4x if
Choose an answer
m=1
m=2
m=3
m=4
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Question # 30
The equation of vertical asymptotes of y = cos ecx is
Choose an answer
x = 0
y = 0
x =∞
y =∞
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Question # 31
The line Ax + By + C = 0 will touch the circle x
2
+ y
2
=
λ when
Choose an answer
C
2
=
λ
(A
2
+ B
2
)
A
2
=
λ
(A
2
+ C
2
)
B
2
=
λ
(A
2
+ C
2
)
None of these
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