Ellipse standard formEasyQuestion 400001
Question
The standard equation of an ellipse with semi-major axis a (along x) and semi-minor axis b is:
- Ax²/a² + y²/b² = 1 (a > b)Correct
- Bx²/b² + y²/a² = 1
- Cx²/a² − y²/b² = 1
- Dy²/a² + x²/b² = 1
Correct answer
x²/a² + y²/b² = 1 (a > b)
Explanation
Standard ellipse: x²/a² + y²/b² = 1 with a > b > 0. c² = a² − b² (c = focal distance). Eccentricity e = c/a (0 < e < 1). Foci at (±c, 0).