Chapter 20 of 27
Revision Notes
Conic Sections — Revision Notes
J&K CET · Mathematics
Free Conic Sections revision notes for J&K CET Mathematics 2026 — key concepts, formulas, and definitions for quick revision.
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Key concepts, formulas, and definitions from Conic Sections for J&K CET Mathematics preparation.
Key Topics to Revise
1
Introduction to Conic Sections
- A conic is the locus of a point whose ratio of distances from a fixed point (focus) to a fixed line (directrix) is constant (eccentricity)
- General equation of second degree: Ax² + 2Hxy + By² + 2Gx + 2Fy + C = 0
- Classification based on eccentricity: Circle (e=0), Parabola (e=1), Ellipse (e<1), Hyperbola (e>1)
2
Circle
- Locus of points equidistant from a fixed point (center)
- Standard form: (x-h)² + (y-k)² = r² where (h,k) is center and r is radius
- General form: x² + y² + 2gx + 2fy + c = 0
3
Parabola
- Locus of points equidistant from focus and directrix (eccentricity = 1)
- Four standard forms based on orientation: y² = 4ax, y² = -4ax, x² = 4ay, x² = -4ay
- Focus and directrix are equidistant from vertex
4
Ellipse
- Locus where sum of distances from two foci is constant (eccentricity < 1)
- Standard forms: x²/a² + y²/b² = 1 (horizontal major axis when a > b)
- Major axis length = 2a, minor axis length = 2b
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Key Concepts
A conic section is the locusStandard formFour standard forms based on orientationStandard formsStandard hyperbola
Frequently Asked Questions
What topics are covered in Conic Sections for J&K CET?
Conic Sections is an important chapter in J&K CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Introduction to Conic Sections, Circle, Parabola, Ellipse.
How important is Conic Sections for J&K CET?
Conic Sections is a frequently tested chapter in J&K CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 820 practice questions available for this chapter.
How to prepare Conic Sections for J&K CET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.
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