Henry Daniels
10/06/2023 · Senior High School
68 Determina per quali valori di \( k \) l'equazione \( x^{2}+k y^{2}=k \) rappresenta: a. un'ellisse; b. un'ellisse con i fuochi sull'asse \( x \); c. un'ellisse che passa per \( A\left(-2 ; \frac{\sqrt{2}}{2}\right) \)
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a. L'equazione rappresenta un'ellisse per \( k > 0 \).
b. L'equazione rappresenta un'ellisse con i fuochi sull'asse \( x \) per \( 0 < k < 1 \).
c. L'equazione rappresenta un'ellisse che passa per il punto \( A\left(-2 ; \frac{\sqrt{2}}{2}\right) \) per \( k = 8 \).
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