Identify the graph of the equation. what is the angle of rotation for the equation?
2xy – 9 = 0

The answer is hyperbola; 45° ⇒ answer (b)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

* 2xy - 9 = 0

∵ A = 0 , B = 2 , C = 0

∴ B² - 4 AC = (2)² - 4(0)(0) = 4 > 0

∴ B² - 4AC > 0

∴ The graph is hyperbola

* To find the angle of rotation use the rule:

- cot(2Ф) = (A - C)/B

∵ A = 0 , B = 2 , C = 0

∴ cot(2Ф) = 0/2 = 0

∴ 2Ф = 90°

∴ Ф = 45°

* The answer is hyperbola; with angle of rotation = 45°

it is b)

hope this : )

step-by-step explanation:

plz yuo

step-by-step explanation: