question 10 of 10

the length of the major axis of the ellipse below is 17, and the length of the red line segment is 6. how long is the blue line segment?

a. 10
b. 23
c. 17
d. 11

Question

question 10 of 10

the length of the major axis of the ellipse below is 17, and the length of the red line segment is 6. how long is the blue line segment?

a. 10
b. 23
c. 17
d. 11

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" ] } ## Identify the geometric properties of the ellipse $$ \begin{aligned} &d_1 + d_2 = 2a \ &2a = 17 \ &d_1 = 6 \end{aligned} $$ ## Calculate the length of the blue line segment $$ \begin{aligned} &6 + d_2 = 17 \ &d_2 = 11 \end{aligned} $$

A. 10

B. 23

C. 17

D. 11

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

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QUESTION IMAGE

Question

Explanation:

Identify the geometric properties of the ellipse

Calculate the length of the blue line segment

Answer: