NCERT · Class 11 · Mathematics · Conic SectionsThe length of the major axis of the ellipse $\frac{x^2}{36} + \frac{y^2}{16} = 1$ is:
Step-by-Step Solution
For the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, where $a > b$, the length of the major axis is $2a$. Here, $a^2 = 36$, so $a = 6$. Therefore, the length of the major axis is $2 \times 6 = 12$ units.
Detailed Options Breakdown
Option : $6$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Conic Sections.
Option 1: $8$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Conic Sections.
Option 2: $12$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $16$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Conic Sections.
💡 Study Guide: This question tests core syllabus concepts from Conic Sections. For formulas, key summaries, and mock exam reference guides, read the full Conic Sections Revision Notes.