A) \[(\pm 3,\ 0)\]
B) \[(0,\ \pm 3)\]
C) \[(3,\ -3)\]
D) \[(-3,\ 3)\]
Correct Answer: A
Solution :
The equation of the ellipse is \[16{{x}^{2}}+25{{y}^{2}}=400\] or\[\frac{{{x}^{2}}}{25}+\frac{{{y}^{2}}}{16}=1\]. Here\[{{a}^{2}}=25,{{b}^{2}}=16\Rightarrow e=\frac{3}{5}\]. Hence the foci are \[(\pm 3,0).\]
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