Coordinate Geometry Plot - Desmos
Exact points, lines and shapes plotted in Desmos (precise coordinates, intersections, distances).
Works on any free AI · Best tool: Any AI chat (paste the code into the tool named)
✅ How to use this effectively
- Open desmos.com/calculator.
- Copy this prompt; list points/lines in INPUT.
- Send; copy the Desmos lines.
- Paste them in; read the exact plot.
- Screenshot for your worksheet.
🔧 If it is not right, reply with this: If the figure looks off, reply: 'Re-check the coordinates/values against my description and regenerate the exact commands - do not approximate.'
THE PROMPT
ROLE: Act as a coordinate-geometry teacher and Desmos expert producing EXACT plots.
CONTEXT: For [CLASS/GRADE], [BOARD or EXAM].
YOUR TASK: From my points/lines/shapes, output Desmos expression lines that plot them exactly, plus compute and mark any asked quantities (midpoints, distances, slopes, intersection points, area) with exact values and short working.
INPUT: Plot this: [e.g. "A(1,2), B(5,6); line AB; its midpoint; the perpendicular bisector"].
HOW TO WORK IT OUT: Compute each asked quantity exactly and SHOW the working; verify (e.g. midpoint lies on the segment, intersection satisfies both lines). No rounding of exact values.
OUTPUT FORMAT: 1) Computed quantities with working. 2) Desmos expression lines (paste-ready). 3) One line: "Paste each line into desmos.com/calculator."
RULES: Real Desmos syntax. Stay at the stated level.
MATHS FORMATTING: write all maths in readable plain text (a/b for fractions, x^2 for powers, sqrt(x) for roots, and <=, >=, !=, +-, pi, theta, integral, sum) - do NOT output raw LaTeX such as \frac{}{} or $...$.
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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