NCERT · Class 11 · Mathematics · Conic SectionsFind the coordinates of the focus of the parabola $y^2 = 12x$.
Step-by-Step Solution
The given equation is $y^2 = 12x$. Comparing this with the standard equation $y^2 = 4ax$, we get $4a = 12$, which gives $a = 3$. The focus of the parabola $y^2 = 4ax$ is given by $(a, 0)$. Therefore, the focus is $(3, 0)$.
Detailed Options Breakdown
Option : $(3, 0)$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $(0, 3)$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Conic Sections.
Option 2: $(-3, 0)$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Conic Sections.
Option 3: $(0, -3)$
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.