Let the right focus of hyperbola C: x24 − y2 = 1 be f and the line L pass through the point F. if the line L intersects both the left and right branches of hyperbola C, then the slope k of line L is () A. K ≤ − 12 or K ≥ 12b. K ＜ − 12 or K ＞ 12C. − 12 ＜ K ＜ 12D. − 12 ≤ K ≤ 12

Let the right focus of hyperbola C: x24 − y2 = 1 be f and the line L pass through the point F. if the line L intersects both the left and right branches of hyperbola C, then the slope k of line L is () A. K ≤ − 12 or K ≥ 12b. K ＜ − 12 or K ＞ 12C. − 12 ＜ K ＜ 12D. − 12 ≤ K ≤ 12

∵ the asymptote equation of hyperbola C: x24 − y2 = 1 is y = ± 12x. If l intersects the left and right branches of hyperbola, its slope should be sandwiched between two asymptotes ∵ 12 < K < 12, so C is selected

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