Solubility of BaF2 in a solution of Ba(NO3)2 will be represented by the concentration term
[Ba+2]
[F-]
12F-
2[NO3-]
BaF2(s)⇌BaF2S(aq)→Ba+2S+C(aq)+2F-(2Saq)
BaNO32S(s)→Ba+2(aC+Sq)+2NO3-2C(aq)
Due to common ion effect ,the solubility of BaF2 is highly suppressed.
C>>>S OR C + S ~ C
Ksp = (S + C) x (2S)2
[F-] = 2S
F-2=S