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AP EAPCET 2024 - 19th May Evening Shift

MCQ+1 / -02024
If the circles $S \equiv x^2+y^2-14 x+6 y+33=0$ and $S^1 \equiv x^2+y^2-a^2=0(a \in N)$ have 4 common tangents, then possible number of values of $a$ is

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