A) \[3ab\]
B) \[3a{{b}^{2}}\]
C) \[3{{a}^{2}}b\]
D) \[3\]
Correct Answer: B
Solution :
In \[\Delta ABD,\] |
\[\sin 10{}^\circ =\frac{BD}{AB}=\frac{9a}{2b}\] |
\[\sin 30{}^\circ =3\sin 10{}^\circ -4{{\sin }^{3}}10{}^\circ \] |
\[\Rightarrow \] \[\frac{1}{2}=\frac{3a}{2b}-\frac{4{{a}^{3}}}{8{{b}^{3}}}\] |
\[\Rightarrow \] \[{{b}^{3}}=3a{{b}^{2}}-{{a}^{3}}\] |
\[\Rightarrow \] \[{{a}^{3}}+{{b}^{3}}=3a{{b}^{2}}\] |
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