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Math 12 Chapter 6
Conic Section
Test - 8
1.
Length of tangent segment of p(x
1
,y
1
) to the circle x
2
+ y
2
+ 2gx + 2fy + c = 0
a)
Ö
x
1
2
+y
1
+
1
+2fy
1
+c = 0
b)
Ö
x
1
2
+y
1
+2gx
1
+2fy
1
+c = 0
c)
Ö
x
1
2
+y
1
+2gx
1
+2fy
1
= 0
d)
1
2
+y
1
+2gx
1
+2fy
1
+c = 0
2.
Parametric eqn. of parabola
a) x = a cosec
q
, y = b sece
q
b) x = a sec
q
, y = b tan
q
c) x = a cos
q
, y = b sin
q
d) x = a tan
q
, y = b sec
q
3.
Equ. of circles with center at origin.
a) x + y = r
b) x
2
+ y
2
= r
2
c) x
2
- y
2
= r
2
d) x
3
+ y
3
= r
3
4.
Eqn. of an ellipse a > b
a) x
2
/ a
2
- y
2
/ b
2
= 1
b) x / a
2
+ y/ b
2
= 1
c) x
2
/ a
2
+ y
2
/ b
2
= 1
d) x
2
/ a + y
2
/ b = 1
5.
Parametric equation of hyperbola
a) x = b Sin
q
, y = b Sin
q
b) x = a Cos
q
, y = b Sin
q
c) x = b Cos
q
, y = b Sin
q
d) x = a Sin
q
, y = b Sin
q
6.
Parametric equation of an ellipse
a)
Ö
g
2
+f
2
-c
b)
Ö
g+f-c
c)
Ö
g
2
+f-c
d)
Ö
g+f
2
-c
7.
Eqn. of circle in general form
a) y
2
+ 2gx + 2fy + c + x
2
= 0
b) x
2
+ y
2
= 0
c) x
2
+ 2gx + 2fy + c = 0
d) x
2
+ y
2
+ 2gx + 2fy + c = 0
8.
Eqn. of parabola whose focus at (0,-a)
a) x = -4ay
b) x
2
= -4ay
c) x
2
= -2ay
d) x
3
= ay
9.
Eqn. of hyperbola when a = b
a) x
2
- b
2
= y
2
b) x
2
+ y
2
= b
c) x - y = b
2
d) x
2
- y
2
= b
2
10.
Radius of x
2
+y
2
+2gx+2fy+c= 0
a) x = at, y = 2at
b) x = at, y = at
c) x = 2at ; y = at
2
d) x = at
2
, y = 2at
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