Предмет: Геометрия, автор: Аноним

Найдите уравнение окружности. в которую переходит окружность (х+2)в квадрате +(у-3)в квадрате =4 при паралельном переносе на (-2:3)

Ответы

Автор ответа: elena20092

Уранение окружности (х + 2)² + (у - 3)² = 4

Центр этой окружности находится в точке С(-2; 3)

При параллельном переносе на (-2; 3) центр окружности сместится в точку С1 с координатами хС1 = -2 - 2 = -4; уС1 =3 + 3 = 6, то есть С1(-4; 6)

и уравнение новой окружности будет иметь вид: (х + 4)² + (у - 6)² = 4

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