It is known that the eccentricity e of ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 (a > b > 0) is √ 6 / 3, and the distance between the straight line passing through points a (0, - b) and B (a, 0) and the origin is √ 3 / 2 (1) The equation of finding ellipse (2) Given the fixed point E (- 1), if the line y = KX + 2 (K ≠ 0) intersects the ellipse at two points c and D, ask: is there a value of K to make the circle with diameter CD pass through point e? Please explain the reason If it's right, answer the second question. If it's not right, write it all, E (- 1,0), sorry, I haven't finished

It is known that the eccentricity e of ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 (a > b > 0) is √ 6 / 3, and the distance between the straight line passing through points a (0, - b) and B (a, 0) and the origin is √ 3 / 2 (1) The equation of finding ellipse (2) Given the fixed point E (- 1), if the line y = KX + 2 (K ≠ 0) intersects the ellipse at two points c and D, ask: is there a value of K to make the circle with diameter CD pass through point e? Please explain the reason If it's right, answer the second question. If it's not right, write it all, E (- 1,0), sorry, I haven't finished

Sorry, it's not finished. Go ahead. thank you