Solve the Problem $4 y ^ { 2 } - 25 x ^ { 2 } = 100$

question 243

Multiple Choice

Solve the problem.
-Find the foci and asymptotes of the following hyperbola: $4 y ^ { 2 } - 25 x ^ { 2 } = 100$

• A) Foci: \(( \sqrt { 21 } , 0 ) , ( - \sqrt { 21 } , 0 ) ;\) Asymptotes: \(y = \frac { 2 } { 5 } x , y = - \frac { 2 } { 5 } x\)
• B) Foci: \(( \sqrt { 29 } , 0 ) , ( - \sqrt { 29 } , 0 )\); Asymptotes: \(y = \frac { 25 } { 4 } x , y = - \frac { 25 } { 4 } x\)
• C) Foci: \(( 0 , \sqrt { 21 } ) , ( 0 , - \sqrt { 21 } ) ;\) Asymptotes: \(y = \frac { 5 } { 2 } x , y = - \frac { 5 } { 2 } x\)
• D) Foci: \(( 0 , \sqrt { 29 } ) , ( 0 , - \sqrt { 29 } ) ;\) Asymptotes: \(y = \frac { 5 } { 2 } x , y = - \frac { 5 } { 2 } x\)

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