If tan θ = a/b such that \(\frac{asin~\theta ~-b\cos \theta }{a\sin \theta ~+~b\cos \theta }~=~{{\left[ \frac{{{a}^{2}}-{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}} \right]}^{k}}\) , then k is:

1
6
2
2
3
1
4
8

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