A) \[{{\left( \frac{a}{x} \right)}^{2/3}}+{{\left( \frac{b}{y} \right)}^{2/3}}=1\]
B) \[{{\left( \frac{b}{x} \right)}^{2/3}}+{{\left( \frac{a}{y} \right)}^{2/3}}=1\]
C) \[{{\left( \frac{x}{a} \right)}^{2/3}}+{{\left( \frac{y}{b} \right)}^{2/3}}=1\]
D) \[{{\left( \frac{x}{b} \right)}^{2/3}}+{{\left( \frac{y}{a} \right)}^{2/3}}=1\]
Correct Answer: C
Solution :
\[{{\left( \frac{x}{a} \right)}^{1/3}}=\cos \,\theta ,\,\,{{\left( \frac{y}{b} \right)}^{1/3}}=\sin \theta \] Now square and add.
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