question 9 of 10

the length of the major axis of the ellipse below is 12. what is the sum of the lengths of the red and blue line segments?

a. 24
b. 6
c. 12
d. 9

Question

question 9 of 10

the length of the major axis of the ellipse below is 12. what is the sum of the lengths of the red and blue line segments?

a. 24
b. 6
c. 12
d. 9

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Ellipse Definition" ], "new_concepts": [], "current_concepts": [ "Ellipse Definition", "Ellipse Foci" ] } ## Apply the definition of an ellipse $$ d(P, F_1) + d(P, F_2) = 2a $$ ## Identify the given parameters $$ \begin{aligned} &\text{Major axis length } (2a) = 12\ &d(P, F_1) + d(P, F_2) = 12 \end{aligned} $$

A. 24

B. 6

C. 12

D. 9

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Ellipse Definition" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the definition of an ellipse

Identify the given parameters

Answer: