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 :
According to question, Transverse axis = Conjugate axis Given that, \[e=\sqrt{2},\,2ae=16\]; \\[a=4\sqrt{2}\] Therefore, equation of hyperbola is \[{{x}^{2}}-{{y}^{2}}=32.\]
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