Conic Sections — Important Questions

x = -a

For the parabola y² = 4ax, the directrix is the line x = -a.

(a, 0)

The focus of the parabola y² = 4ax is at (a, 0).

x²/a² + y²/b² = 1

The standard equation of an ellipse centered at the origin is x²/a² + y²/b² = 1, where a and b are semi-major and semi-minor axes.

x-axis

When a > b in the ellipse equation x²/a² + y²/b² = 1, the major axis is along the x-axis.