Two vectors \( \vec{A} \) and \( \vec{B} \) have equal magnitudes. ...

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Two vectors \( \vec{A} \) and \( \vec{B} \) have equal magnitudes. The magnitude of \( (\vec{A}+\vec{B}) \) is 'n' times the magnitude of \( (\vec{A}-\vec{B}) \). The angle between \( \vec{A} \) and \( \vec{B} \) is
[JEE (Main) 2019] .
(a) \( \sin ^{-1}\left[\frac{n-1}{n+1}\right] \)
(b) \( \cos ^{-1}\left[\frac{n^{2}-1}{n^{2}+1}\right] \)
(c) \( \sin ^{-1}\left[\frac{n^{2}-1}{n^{2}+1}\right] \)
(d) \( \cos ^{-1}\left[\frac{n-1}{n+1}\right] \)
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