JEEA-16 — JEE Advanced Math — Coordinate Geometry: Conic Sections

JEE Advanced Math — Coordinate Geometry: Conic Sections

Parabola, ellipse, and hyperbola for JEE Advanced aspirants.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Analyze the general second-degree equation to identify and trace a conic via discriminant criteria [Analyze]
  2. Derive properties of focal chords, directrices, and reflection laws for parabola, ellipse, and hyperbola [Create]
  3. Evaluate locus problems involving director circles, auxiliary circles, and conjugate diameters [Evaluate]
  4. Apply rectangular hyperbola in xy = c^2 form to solve problems on chords and tangents [Apply]
  5. Investigate conjugate hyperbolas and their asymptotic behavior [Analyze]
  6. Solve JEE Advanced paragraph and multi-step problems on conics [Evaluate]

📚 Chapters

  1. Parabola — Properties and Tangents
  2. Chord of Contact and Pair of Tangents — Parabola
  3. Diameter, Focal Chord and Reflection Property
  4. Ellipse — Properties and Tangents
  5. Director Circle and Auxiliary Circle
  6. Hyperbola — Properties and Tangents
  7. Asymptotes and Conjugate Hyperbola
  8. Rectangular Hyperbola
  9. General Equation of a Conic
  10. Identification and Tracing of a Conic
  11. Mixed Advanced Problems

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