Circle

Circle touching y-axis at (0, 2) is (x−0)2+(y−2)2 + λ x = 0 passes through (−1, 0).
Therefore, 1 + 4 - λ = 0 ⇒ λ = 5
Hence, x2+y2 + 5x - 4y + 4 = 0
Substituting y = 0 ⇒ x = −1,−4.
Hence, the Circle passes through (−4, 0).