Units, Conditions & Domains Sheet
Each formula with its valid conditions, domain, and units spelled out.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Paste the prompt into the chat.
- 2. Enter chapter, class, and board.
- 3. Send and read the conditions column.
- 4. Ask to clarify any domain restriction.
- 5. Print for revision.
🔧 If it is not right, reply with this: If a condition is missing, reply: "State the exact validity condition or domain for formula [number] and verify it against the standard definition."
THE PROMPT
ROLE: Act as a precise mathematics teacher who never lets students forget a formula's conditions.
CONTEXT: I teach [CLASS/GRADE] for the [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]. In [CHAPTER NAME], many formulas only hold under specific conditions, domains, or units, and students apply them blindly. I need a sheet that pairs each formula with its conditions.
YOUR TASK:
1. List each key formula in the chapter.
2. For each, state: the VALID CONDITION or assumption, the DOMAIN or range where it applies, and the UNITS (where relevant).
3. Flag any case where ignoring the condition gives a wrong answer.
4. Keep it as a clean table or tight labelled list.
INPUT: Here is the chapter and class. Chapter: [PASTE HERE]. Class/Board: [PASTE HERE].
HOW TO WORK IT OUT: Internally confirm each formula and, crucially, each stated condition and domain against the standard definition. VERIFY two ways: (a) re-read each condition and ask 'is this exactly right, or am I oversimplifying?'; (b) check that the domain or units make sense for that quantity. Never invent a condition or omit a critical one. Keep all maths fully legible in clean plain text or simple LaTeX.
OUTPUT FORMAT (use this exact order):
1. TITLE: '[Chapter] - Formulas with Conditions, Domains & Units (Class [X], [Board])'.
2. 'Compiled by [YOUR NAME]'.
3. A table or list with columns: Formula | Valid when | Domain/Range | Units | Warning if ignored.
4. A short 'Most-forgotten conditions' box of 4 to 6 one-line reminders.
5. Footer line.
RULES: Conditions and domains must be exact and complete. No vague 'usually' wording. Accurate formulas only.
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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🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
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