Conic Sections
Karnataka Board · Class 11 · Mathematics
Complete topic list for Conic Sections in Karnataka Board Class 11 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Conic Sections
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
Key Concepts
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Sources & Official References
- Karnataka SSLC — kseeb.kar.nic.in
- Dept of Pre-University Education, Karnataka
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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