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Problem If the ellipse x 2 4 + y 2 = 1 \frac{x^2}{4} + y^2 = 1 4 x 2 + y 2 = 1 x 2 + y 2 a 2 = 1 in four distinct points and a = b 2 − 5 b + 7 , then b x^2 + \frac{y^2}{a^2} = 1 \text{ in four distinct points and } a = b^2 - 5b + 7, \text{ then } b x 2 + a 2 y 2 = 1 in four distinct points and a = b 2 − 5 b + 7 , then b ( 1 , 4 ) (1, 4) ( 1 , 4 ) ( − ∞ , 2 ) ∪ ( 3 , ∞ ) (-\infty, 2) \cup (3, \infty) ( − ∞ , 2 ) ∪ ( 3 , ∞ ) ( 2 , 3 ) (2, 3) ( 2 , 3 ) Browse the problem library