1.

The equation of the hyperbola referred to the axis as axes of co-ordinate and whose distance between the foci is 16 and eccentricity is \[\sqrt{2}\], is                                                                                             [UPSEAT 2000]

A.            \[{{x}^{2}}-{{y}^{2}}=16\]         
B.            \[{{x}^{2}}-{{y}^{2}}=32\]
C.            \[{{x}^{2}}-2{{y}^{2}}=16\]       
D.            \[{{y}^{2}}-{{x}^{2}}=16\]
Answer» C.            \[{{x}^{2}}-2{{y}^{2}}=16\]       


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