question 5 of 10
look at the hyperbola graphed below. the hyperbola gets very close to the red lines on the graph, but it never touches them. which term describes each of the red lines?
a. axis
b. asymptote
c. directrix
d. focus

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "direct_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Hyperbola Definition" ], "new_concepts": [ "Hyperbola Asymptotes" ], "current_concepts": [ "Hyperbola Definition", "Hyperbola Asymptotes" ] } ## Identify the geometric feature of the hyperbola The problem describes red lines that the hyperbola gets very close to but never touches as it extends outward. ## Match the description to the mathematical term A line that a curve approaches infinitely closely but never intersects is defined as an asymptote.

A. Axis

B. Asymptote

C. Directrix

D. Focus

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Hyperbola Asymptotes" ] }

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Question

Explanation:

Identify the geometric feature of the hyperbola

Match the description to the mathematical term

Answer: