Задание 16

ВМ Высшая математика

ПРИМЕР ВЫПОЛНЕНИЯ ЗАДАНИЯ

К СОДЕРЖАНИЮ РАЗДЕЛА

Привести к каноническому виду и построить график

1	– x² – y² + 4 xy + 2x – 4y + 1 = 0.	2	2x² + 2y² – 2 xy – 2x – 2y + 1 = 0.
3	4 xy + 4x – 4y = 0.	4	– 2x² – 2y² + 2 xy – 6x + 6y + 3 = 0.
5	– 3x² – 3y² + 4 xy – 6x + 4y + 2 = 0.	6	– 2 xy – 2x – 2y + 1 = 0.
7	– x²– y² – 4 xy – 4x – 2y + 2 = 0.	8	– 4x² – 4y² + 2 xy + 10x – 10y + 1 = 0.
9	4 xy + 4x – 4y – 2 = 0.	10	x² + y² + 2 xy – 8x – 8y + 1 = 0.
11	x² + y² + 4 xy – 8x – 4y + 1 = 0.	12	x² + y² – 2 xy – 2x + 2y – 7 = 0.
13	2 xy + 2x + 2y – 3 = 0.	14	4x² + 4y² + 2 xy + 12x + 12y + 1 = 0.
15	3x² + 3y² + 4 xy + 8x + 12y + 1 = 0.	16	x² + y² – 8 xy – 20 x + 20y + 1 = 0.
17	3x² + 3y² – 2 xy – 6x + 2y + 1 = 0.	18	4 xy + 4x + 4y + 1 = 0.
19	3x² + 3y² – 4 xy + 6x – 4y – 7 = 0.	20	– 4 xy – 4x + 4y + 6 = 0.
21	5x² + 5y² – 2 xy + 10x – 2y + 1 = 0.	22	2 x² + 2y² + 4 xy + 8x + 8y + 1 = 0.
23	– x²– y² + 2 xy + 2x – 2y + 1 = 0.	24	2 x² + 2y² – 4 xy – 8x + 8y + 1 = 0.
25	3x² + 3y² + 2 xy – 12x – 4y + 1 = 0.	26	– 4 xy + 8x + 8y + 1 = 0.
27	2x² + 2y² – 2 xy + 6 x – 6y – 6 = 0.	28	x² + y² + 4 xy + 4 x + 2y – 5 = 0.
29	4 xy + 4x – 4y + 4 = 0.	30	3x² + 3y² – 4 xy + 4 x + 4y + 1 = 0.