A) \[{{R}_{1}}=3\,\Omega ,{{R}_{2}}=3\,\Omega \]
B) \[{{R}_{1}}=6\,\Omega ,{{R}_{2}}=1.5\,\Omega \]
C) \[{{R}_{1}}=1.5\,\Omega ,{{R}_{2}}=\]any finite value
D) \[{{R}_{1}}=3\,\,\Omega ,{{R}_{2}}=\]any finite value
E) \[{{R}_{2}}=1.5\,\,\Omega ,{{R}_{1}}=\]any finite value
Correct Answer: D
Solution :
\[\frac{10}{30}=\frac{{{R}_{1}}}{9}\Rightarrow {{R}_{1}}=3\,\Omega \] and resistance\[{{R}_{2}}\]may have any finite value.
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