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ECAT Pre General Science Mathematics Chapter 23 Conic Section Online Test MCQs With Answers
Question # 1
A circle is a limiting case of an ellipse whose eccentricity
Choose an answer
Tends to a
Tends to b
Tends to 0
Tends to a + b
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Question # 2
The axis of the parabola y
2
= 4ax is
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X = 0
Y = 0
X = y
X = -y
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Question # 3
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Question # 4
The point (x
1
, y
1
) lies outside the circle x
2
+ y
2
+ 2gx + 2fy + c =0 if
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Question # 5
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Question # 6
Area of the circle with ends of a diameter at (-3,2) and (5,-6)
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128π sq. units
64π sq. units
32π sq.units
None of these
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Question # 7
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 # 8
If (a, b) is the mid-point of a chord passing thro' the vertex of the parabola y
2
= 4x, then
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a = 2b
2a = b
a
2
= 2b
2a = b
2
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Question # 9
The centre of the conic x2 +16x +4y2 -16y +76 =0 is
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(0,10)
(-8,4)
(-8,-2)
(1,1)
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Question # 10
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Question # 11
The distance of point P(x,y) from focus in a parabola
y
2
=4ax, is:
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2a
a
x + a
x-a
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Question # 12
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Question # 13
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 # 14
The equation of a line parallel to the tangent to the circle x
2
+ y
2
= 16 at the point (2, 3) and passing thro' the origin is
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2x + 3y = 0
2x - 3y = 0
3x + 2y = 0
3x - 2y = 0
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Question # 15
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Question # 16
The centre fo the circle x
2
+ y
2
+ 12x -10 = 0 is
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(12, -10)
(6, -5)
(-12, 10)
(-6, 5)
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Question # 17
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Question # 18
The eccentricity of the conic 9x
2
- 16y
2
= 144 is
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4/5
5/4
4/3
3/4
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Question # 19
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Question # 20
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 # 21
Ifᵨ> 1 , then the conic, is:
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Ellipse
Parabola
Hyperbola
None of these
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Question # 22
The eccentricity of parabola is:
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1
0
Greater than 1
Less than 1
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Question # 23
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Question # 24
the curve of the parabola y
2
= -4ax is symmetric with respect to
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x -axis
y - axis
Botha x and y- axis
None of thes
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Question # 25
The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is
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0
1
-1
h
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Question # 26
ᵨ is a
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variable
Positive constant
Positive variable
Directrix
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Question # 27
ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if
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h2 -ab <0
h2 -ab≠ 0
h2 -ab =0
h2 -ab >0
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Question # 28
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none of these
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Question # 29
The number of real tangents that can be drawn to the ellipse 3x
2
+ 5y
2
= 32 passing thro. (3, 5) is
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0
1
2
Infinite
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Question # 30
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(1, 3)
(-1, -3)
(1, -3)
(-1, 3)
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Question # 31
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