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Math 12 Chapter 6
Conic Section
Test - 12
1.
Product of the distances from the foci to any tangent to the hyperbola x
2
/a
2
- y
2
/b
2
= 1 is b
2
a) False
b) True
2.
Equation of latera recta of x
2
/a
2
+ y
2
/b
2
= 1 are x = + - ae
a) False
b) True
3.
Equation of the asymptotes of x
2
/a
2
- y
2
/b
2
= 1 are y = + - a/bx
a) False
b) True
4.
Equation of the tangent to the ellipse x
2
/a
2
+y
2
/b
2
=1 at (x
1
,y
1
) is x.x
1
/a
2
+y.y
1
/b
2
=1
a) False
b) True
5.
If y = mx + c touches m/a - y
2
/b
2
= 1 then c = + -
Ö
a
2
m
2
+b
2
a) False
b) True
6.
Equation conjugate axis of x
2
/a
2
-y
2
/b
2
= 1 is y = 0
a) False
b) True
7.
The ellipse and hyperbola are called central conics because each has a center of symmetry.
a) True
b) False
8.
If y = mx + c touches x
2
/a
2
+ y
2
/b
2
= 1 then c = + -
Ö
a
2
m
2
+b
2
a) True
b) False
9.
(a Cos
q
, b Sin
q
) lies an ellipse x
2
/a
2
+ y
2
/b
2
= 1
a) True
b) False
10.
Length of latus rectum of x
2
/a
2
+ y
2
/b
2
= 1 is 2b
2
/a
a) False
b) True
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