Hyperbola Calculator
Enter positive a and b for x²/a² − y²/b² = 1. Results describe the standard horizontal hyperbola.
A QUICK WALKTHROUGH
How to use this tool
- Enter positive a and b values within the limit.
- Calculate c, eccentricity, foci, asymptotes, and latus rectum.
- Use the displayed formulas as a reference; this tool gives no professional advice.
Standard form
This calculator uses x²/a² − y²/b² = 1, with a > 0 and b > 0. The transverse axis is horizontal and the centre is at the origin.
Reported values
c is the centre-to-focus distance; eccentricity is e = c/a; foci are (±c, 0); asymptotes are y = ±(b/a)x; latus rectum length is 2b²/a.
Input boundary
a and b must be finite positive numbers no greater than 1,000,000. This is an educational geometry reference, not professional advice.
GOOD TO KNOW
Common questions
Which orientation is used?
The standard horizontal, positive-axis form x²/a² − y²/b² = 1.
What is c?
c = √(a² + b²), the distance from the centre to either focus.
Can I enter negative axes?
No. Enter positive axis parameters; the signs are part of the standard equation.