Stuck in this problem help me Sir ........................

Hello student

S1→ x²+ y²+ z²+ αx − y = 0
S2→ x²+ y²+ z²+ x+ 2z + 1 = 0

or

S1→(x+α/2)²+ (y−1/2)²+ z²= 1/4(α²+1)
S2→(x+1/2)²+ y²+ (z+1)²= ½

or

S1→ ∥p−p₁∥ = r₁
S2→ ∥p−p₂∥ = r₂
with
for further solution please see the attachment.

I hope this answer will help you.