CBSE · Class 11 · Mathematics · Conic SectionsThe length of the latus rectum of the parabola $x^2 = -16y$ is:
Step-by-Step Solution
The length of the latus rectum of a parabola of the form $x^2 = -4ay$ is given by $|4a|$. Comparing $x^2 = -16y$ with $x^2 = -4ay$, we find $4a = 16$. Thus, the length of the latus rectum is $16$ units.
Detailed Options Breakdown
Option : $4$
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: $16$ (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.