NCERT · Class 11 · Mathematics · Conic SectionsThe equation of the directrix of the parabola $y^2 = 8x$ is:
Step-by-Step Solution
Comparing $y^2 = 8x$ with $y^2 = 4ax$, we get $4a = 8$, which implies $a = 2$. The equation of the directrix for the parabola $y^2 = 4ax$ is given by $x = -a$. Therefore, the equation of the directrix is $x = -2$.
Detailed Options Breakdown
Option : $x = 2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Conic Sections.
Option 1: $x = -2$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $y = 2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Conic Sections.
Option 3: $y = -2$
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.