If the circle x²+y²=9 and x²+y²+20 x+2 y+1=0 touch each other internally, then =

Step-by-step solution

Let S₁: x²+y²=9 and S₂: x²+y²+2 x+2 y+1=0 Now, centre and radius of S₁ are Centre =C₁(0,0) Radius =3 Centre and radius of S₂ are aligned & Centre =C₂(- ,-1) & Radius = (- )²+(-1)²-1 = aligned Since, S₁ and S₂ touch each other internally, then array ll & C₁ C₂= |r₂-r₁ | & (- -0)²+(-1-0)² =| -3| & ²+1 =| -3| & ²+1=( -3)² & ²+1= ²-6 +9 & 6 =8 = 4 3 array