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ECAT Pre General Science Mathematics Chapter 23 Conic Section Online Test MCQs With Answers
Question # 1
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 # 2
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Question # 3
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Question # 4
If a > 0 they parabola y2 =-4ax lies in
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I and iv quadrant
I quadrant
II and III quadrant
All are incorrect
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Question # 5
A line segment whose end points lie on a circle is called
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the secant of the circle
the arc of the circle
the chord of the circle
the circumference of the circle
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Question # 6
The eccentricity of the parabola y
2
= -8x is
Choose an answer
-2
2
-1
1
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Question # 7
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 # 8
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Question # 9
The equation ax
2
+ 2hxy + by
2
+2gx + 2fy + c =0 represents an ellipse if
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Question # 10
The two different parts of the hyperbola are called its
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Vertices
Directrices
Nappes
Branches
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Question # 11
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 # 12
The parabolay2=4ax open up if
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a<0
a≠0
a>0
All are incorrect
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Question # 13
The equation of vertical asymptotes of y = cos ecx is
Choose an answer
x = 0
y = 0
x =∞
y =∞
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Question # 14
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2
4
3
16
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Question # 15
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c = 0
c = -1
c = -2
c = 1
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Question # 16
The centre of the circle x2+y2 -2fx-2gy+x=0 is
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(-g,-f)
(g,f)
(f,g)
(-f,-g)
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Question # 17
Choose an answer
none of these
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Question # 18
The equation x
2
+ y
2
= 0 represents
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A circle
A degenerate circle
An empty set
A st. line
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Question # 19
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Question # 20
What is the axis of the parabola y
2
= 4ax?
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x = 0
y = 0
x = a
y = 0
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Question # 21
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Question # 22
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Question # 23
The distance of point P(x,y) from focus in a parabola
y
2
=4ax, is:
Choose an answer
2a
a
x + a
x-a
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Question # 24
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1
5
7
9
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Question # 25
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Question # 26
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Question # 27
The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is
Choose an answer
0
1
-1
h
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Question # 28
Choose an answer
6
20
0
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Question # 29
If either A = 0 or B =0,then Ax2 +By2 +2Gx +2Fy +c =0 represents a
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Circle
Hyperbola
Ellipse
Parabola
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Question # 30
The point (x
1
, y
1
) lies outside the circle x
2
+ y
2
+ 2gx + 2fy + c =0 if
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Question # 31
If the circle x
2
+ y
2
+ 2gx +2fy + c = 0 passes through the origin then
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c = 0
c = -1
c = -2
c = 1
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