Find the Equation to the Ellipse for Which (1, -1)

Multiple Choice

Find the equation to the ellipse for which (1, -1) is a focus, x - y = 3 is the corresponding directrix, and the eccentricity is 1/2.

A) 3x² - 2xy + 3y² - 2x + 2y - 1 = 0
B) 3x² + 2xy + 3y² - 2x + 2y - 1 = 0
C) 7x² - 2xy + 7y² - 10x + 10y + 7 = 0
D) 7x² + 2xy + 7y² - 10x + 10y + 7 = 0
E) 7x² + 2xy + 7y² - 5x + 5y - 2 = 0