Conic Sections
Gujarat Board · Class 11 · Mathematics
Quick revision notes for Conic Sections — Gujarat Board Class 11 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Introduction and Formation of Conic Sections
- Conic sections are formed by intersecting a plane with a double-napped right circular cone
- The vertex V separates the cone into two parts called nappes
- The angle α is between the generator line m and the vertical axis l
Circle
- Circle is formed when β = 90° (plane perpendicular to axis)
- All points on circle are equidistant from the center
- Standard form has center at origin, general form allows any center
Parabola
- Parabola is formed when β = α (plane parallel to generator)
- Set of points equidistant from focus and directrix
- Has one focus and one directrix
Ellipse
- Ellipse is formed when α < β < 90°
- Sum of distances from any point to two foci is constant (2a)
- Has two foci, major axis, minor axis, and center
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