Answer:
x² +y² -2x +4y -11 = 0
Step-by-step explanation:
(x-h)² + (y-k)² = r²
r= √(6-1)² + (1-(-2))²
r= √(5)² + (1)²
r= √15+1
r= √16
r= 4
(x-1)² + (y-(-2))² = 4²
x² -2x +1 + y² +4y +4 = 16
x² +y² -2x +4y + 1 + 4 - 16 = 0