Reduce the Equation to One of the Standard Forms $$z ^ { 2 } = 12 x ^ { 2 } + 4 y ^ { 2 } - 24$$

question 47

Multiple Choice

Reduce the equation to one of the standard forms. $$z ^ { 2 } = 12 x ^ { 2 } + 4 y ^ { 2 } - 24$$

• A) \(x ^ { 2 } + \frac { y ^ { 2 } } { 2 } - \frac { z ^ { 2 } } { 4 } = 1\)
• B) \(( x - 4 ) ^ { 2 } + \frac { y ^ { 2 } } { \left( \frac { 1 } { 4 } \right) ^ { 2 } } + z ^ { 2 } = 1\)
• C) \(x ^ { 2 } + y ^ { 2 } - \frac { z ^ { 2 } } { 4 } = 1\)
• D) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 2 } - z ^ { 2 } = 1\)
• E) \(\frac { x ^ { 2 } } { 2 } + \frac { y ^ { 2 } } { 6 } - \frac { z ^ { 2 } } { 24 } = 1\)

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