Best Christensen
11/03/2023 · Primary School
Riconosci quali delle seguenti equazioni rappresentano ellissi, scrivile nella forma canonica e stabilisci se I fuochi appartengono all'asse \( x \) o all'asse \( y \). \( \begin{array}{llll}\text { S } & \text { a. } x^{2}+\frac{y^{2}}{2}-1=0 ; & \text { b. } x^{2}=9 y^{2}+1 i & \text { c. } x^{2}+25 y^{2}-100=0\end{array} \)
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a. Rappresenta un'ellisse, forma canonica \(\frac{x^{2}}{1} + \frac{y^{2}}{2} = 1\), fuochi sull'asse \(y\).
b. Non rappresenta un'ellisse (è un'iperbole).
c. Rappresenta un'ellisse, forma canonica \(\frac{x^{2}}{100} + \frac{y^{2}}{4} = 1\), fuochi sull'asse \(x\).
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