A) \[{{x}^{2}}-{{y}^{2}}=16\]
B) \[{{x}^{2}}-{{y}^{2}}=32\]
C) \[{{x}^{2}}-2{{y}^{2}}=16\]
D) \[{{y}^{2}}-{{x}^{2}}=16\]
Correct Answer: B
Solution :
\[2ae=16,\]\[e=\sqrt{2}\]Þ\[a=4\sqrt{2}\]and\[b=4\sqrt{2}\] \ equation is \[\frac{{{x}^{2}}}{{{(4\sqrt{2})}^{2}}}-\frac{{{y}^{2}}}{{{(4\sqrt{2})}^{2}}}=1\] Þ \[{{x}^{2}}-{{y}^{2}}=32\].
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