Question

An ellipse with the eccentricity e = 1/2 has focus at (0, 0) and the corresponding directrix is x + 6 = 0. The equation of the ellipse is

Answer 1

Solution :-

S = (0,0) ; p = (x,y)

=> SP = ePM

=> SP² = e² PM²

=> x²+y² = 1/4 ( x +6)²

=> 3x² + 4y² -12x -36 = 0

Therefore , correct answer is 3x² + 4y² -12x -36 = 0 .

Answer 2

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