Parabola y² = 4ax: focus, directrix, latus rectumपरवलय y² = 4ax: नाभि, नियता, नाभिलंबParabola y² = 4ax: focus, directrix, latus rectum

Section 10.4 · Class 11 Maths Ch 10 · interactive diagram

Parts and what they mean

• Parabola (परवलय) — Points equidistant from a fixed point (focus) and a fixed line (directrix).
• Focus F(a, 0) (नाभि F(a, 0)) — For y² = 4ax the focus is (a, 0); here a = 1.5.
• Vertex (शीर्ष) — Point where the parabola meets its axis — the origin here. Axis: the x-axis.
• Directrix x = −a (नियता x = −a) — The fixed line, on the opposite side of the vertex from the focus.
• Latus rectum (नाभिलंब) — Chord through the focus perpendicular to the axis; length 4a. Ends (a, ±2a).
• Point P on the parabola (परवलय पर बिंदु P) — Distance to focus PF = distance to directrix PM.
• Four standard forms (चार मानक रूप) — y² = 4ax (right), y² = −4ax (left), x² = 4ay (up), x² = −4ay (down).

Original diagram drawn by Simple Learning Hub for NCERT Class 11 Maths Ch 10. Report a mistake