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Conic Sections Calculator
Classify a conic from Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 using the discriminant.
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Classify a conic from Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 using the discriminant.
Conic Sections Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: B2 – 4AC < 0 ellipse, = 0 parabola, > 0 hyperbola.
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Conic Quick Guide
Typical values for reference.
| A | B | C | Conic |
|---|---|---|---|
| 1 | 0 | 1 | Circle |
| 1 | 0 | 4 | Ellipse |
| 1 | 0 | 0 | Parabola |
| 1 | 0 | -1 | Hyperbola |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Conic Sections Calculator FAQ
Answers to common questions about this calculator.
Compute B2 – 4AC and check its sign.
When A equals C and B is zero.
It is a parabola.
No, it classifies the general form only.