Section 10.5

Rotation of Axes;

General Form of a Conic

OBJECTIVE 1

2 2 2

2 2

Identify each equation without completing the squares:

(a) 5 8 7 4 0 (b) 2 3 6 6 4 0

(c) 2 3 5 0

x x y x y x y

x y x

OBJECTIVE 2

60°

OBJECTIVE 3

2 2Analyze the equation: 6 7 0x xy y

2 2Analyze the equation: 9 6 8 10 24 10 0x xy y x y

OBJECTIVE 4

2 2Identify the equation: 4 7 2 6 6 0x xy y x y