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Math 12 Chapter 6
Conic Section
Test - 4
1.
Which of the following equation is the circle with center at origin and touching to the line with equ. 3x-7y=29:
a) 2x
2
+ 2y
2
= 29
b) x
2
+ y
2
= 15
c) x
2
+ y
2
= 10
d) x
2
+ y
2
= 12
2.
If eccentricity e =1 then conic is:
a) Ellipse
b) Hyperbola
c) Parabola
d) Circle
3.
Radius of the circle x
2
+ y
2
+ 2gx + 2fy + c = 0
a)
Ö
g
2
+ f
2
- c
2
b)
Ö
g
2
+ f
2
- c
c) g
2
+ f
2
- c
d)
Ö
g
2
+ f
2
+c
4.
If one end of a diameter of 4x
2
+ 4y
2
+ 24x - 8y + 15 = 0 circle be (2,3) the co-ordinate of other end are:
a) (-8,-9)
b) (1,1)
c) (8,9)
d) (8,1)
5.
A point P(x
1
,y
1
) lies outside the circle if:
a) x
1
2
+ y
1
2
+ 2gx1 + 2fy1 + c @ 0
b) None of these
c) x
1
2
+ y
1
2
+ 2gx1 + 2fy1 + c # 0
d) x
1
2
+ y
1
2
+ 2gx1 + 2fy1 + c = 0
6.
Equation of tangent to the circle x
2
+ y
2
= 10 at the point whose abscissa is 1 is:
a) -x - 3y = 10
b) -x + 3y = 10
c) x + 3y = 10
d) x + 3y = 10
7.
x
2
+y
2
-2gx-2fy+c=0 is equation of circle with center:
a) (-g, f)
b) (g, -f)
c) (g,f)
d) (-g,-f)
8.
Centre of the circle 45x
2
+ 45y
2
- 60x + 36y + 19 = 0 is:
a) (2/3, -2/3)
b) (-2/3, 2/5)
c) (-2/3, -2/5)
d) (0, 2/5)
9.
Length of tangent from (3,4) to the circle 2x
2
+2y
2
+3x-4y+7=0 is:
a) 25
b)
Ö
5
c) 5/2
d) 5
10.
The point (6,9) lies ____________________ the circle x
2
+ y
2
= 100:
a) Inside
b) None of these
c) Outside
d) On
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