Question

Doprowadz do rownania okręgu (x-a)² + (y-b)² = r²

a) (x-2)² + y² = 2
b) x² + y² + 6x - 2y + 6 = 0
c) x² + (y + 3)² = 2
d) x² + y² + 2x - 8y + 13 = 0

(ze wszystkimi obliczeniami)

Answer 1

A) (x-2)² + y² = 2
(x-2)² + ( y-0)² =( √2)²

b) x² + y² + 6x - 2y + 6 = 0
(x²+6x+9)-9+(y²-2y+1)-1+6=0
(x+3)²+(y-1)²= 4
(x+3)²+(y-1)²= 2²

c) x² + (y + 3)² = 2
(x-0)² + (y + 3)² = (√2)²

d) x² + y² + 2x - 8y + 13 = 0
(x²+2x+1)-1+(y²-8y+16)-16 +13=0
(x+1)²+(y-4)²=4
(x+1)²+(y-4)²=2²