Cuál es la distancia entre las dos circunferencias x²+y²-4=0 y x²+y²-1=0?

Question

Ayuda con el problema. Por favor

Answer 1

Respuesta preferida

distance between circles

x² + y² - r² = 0 ⇒ x² + y² = r²

c₂: x² + y² - 4 = 0

c₁: x² + y² - 1 = 0

x² + y² = 4 ⇒ r₂² = 4 ⇒ r₂ = √4 = 2

x² + y² = 1 ⇒ r₁² = 1 ⇒ r₁ = √1 = 1

r₂ - r₁ = 2 - 1 = 1

distance = 1 unit

Answer 2

x² + y² = 4

C (0,0) and r = 2

x² + y² = 1

C(0,0) and r = 1

distancia entre = 2 - 1 = 1

Answer 3

What is the distance between the two circles x² + y² - 4 = 0 and x² + y² - 1 = 0 ?

The distance between concentric circles radius 2 units and 1 unit respectively is 1 unit.

La distancia entre círculos concéntricos radio 2 unidades y 1 unidad respectivamente es de 1 unidad.

Answer 4

The distance between the two circumferences

x² + y² - 4 = 0 and x² +y² - 1 = 0 is 1 unit.

Answer 5

The distance between the circles is 1 unit.

Fuente(s): https://www.desmos.com/calculator/jjmhr7o4t2

Answer 6

It is 1 i belive.