If in an ellipse, a focus is (6, 7), the directrix is x + y... | MATH - ELLIPSE | SolveeIt | Solveeit

Today, August 18

Question

If in an ellipse, a focus is (6, 7), the directrix is

x + y + 2 = 0 and e = 1/2 then equaction of ellipse is

A

7x² + 2xy + 7y²– 44x – 108y + 684 = 0

B

7x² – 2xy + 7y²– 52x – 116y + 676 = 0

C

9x² – 2xy + 9y²– 44x – 108y + 684 = 0

D

None of these

Answer

None of these

Explanation

Solution

x + y + 2 = 0 ..... (1); e = $\frac{1}{2}$

PS = e.PM

Locus of point P = ?