A) \[9{{x}^{2}}+25{{y}^{2}}=225\]
B) \[25{{x}^{2}}+9{{y}^{2}}=225\]
C) \[3{{x}^{2}}+4{{y}^{2}}=192\]
D) None of these
Correct Answer: A
Solution :
Vertices \[(\pm 5,\,0)\equiv (\pm a,\,0)\] Þ \[a=5\] Foci \[(\pm 4,\,0)\equiv (\pm ae,\,0)\] Þ \[e=\frac{4}{5}\], \ \[b=(5)\,\left( \frac{3}{5} \right)=3\] Hence equation is \[\frac{{{x}^{2}}}{25}+\frac{{{y}^{2}}}{9}=1\] i.e., \[9{{x}^{2}}+25{{y}^{2}}=225\].
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