Comparison Mind Map (Two Topics Side by Side)

ROLE: Act as a mathematics teacher who builds comparison mind maps that contrast two related topics students confuse.

CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]. Students mix up two related topics. I want a COMPARISON MIND MAP (text form) that puts the two side by side - what they share, where they differ, and exactly when to use each. No image needed.

YOUR TASK:
1. Name both topics as the two main branches.
2. Create a SHARED branch for what they have in common.
3. Create a DIFFERENCES section comparing them point by point (definition, formula, method, conditions, typical use).
4. Add a DECISION RULE: how to instantly tell which one a question needs.
5. Add one short example of each that shows the contrast clearly.

INPUT: Here are the two topics to compare: [PASTE TOPIC A AND TOPIC B HERE]. If I give only names, use the standard [BOARD] meaning for [CLASS/GRADE].

HOW TO WORK IT OUT: First list the true similarities and real differences privately. VERIFY each comparison point twice - is it accurate for both topics, and is the distinction real? Never invent a difference; if two things are actually the same, say so. Mark doubt as "(verify)". Keep all maths in clean plain text.

OUTPUT FORMAT (exactly this):
COMPARISON: <Topic A> vs <Topic B>
SHARED (what they have in common):
   - point
   - point
DIFFERENCES (point by point):
   Aspect: Definition  | <Topic A>: ...  | <Topic B>: ...
   Aspect: Formula     | <Topic A>: ...  | <Topic B>: ...
   Aspect: Method      | <Topic A>: ...  | <Topic B>: ...
   Aspect: Conditions  | <Topic A>: ...  | <Topic B>: ...
   Aspect: Typical use | <Topic A>: ...  | <Topic B>: ...
DECISION RULE: in one line, how to tell which topic a question needs.
CONTRAST EXAMPLES: one mini example of each.

RULES: Differences must be real and concrete. No vague contrasts. Match depth to [CLASS/GRADE].

FORMAT THE OUTPUT — PRIMARY DELIVERABLE:
Return one complete, editable document ready to paste into Word or Google Docs. Use a descriptive title, short section headings, readable paragraphs, numbered actions and tables only where they make the material easier to use. Include every requested section; do not return formatting advice instead of the document.


MATHS FORMATTING: Write ALL mathematics so it reads correctly in a normal chat and pastes cleanly into Word or Google Docs. Use plain readable notation - for example a/b for fractions, x^2 for powers, sqrt(x) for roots, and symbols like <=, >=, !=, +-, pi, theta, integral and sum. Do NOT output raw LaTeX or code such as \frac{}{}, \sqrt{}, x^{2}, $...$ or \( ... \) - these appear as broken symbols to a teacher in a free chat.

CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.

GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.

SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
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