JEEM-13 — JEE Main Math — Coordinate Geometry: Conic Sections

JEE Main Math — Coordinate Geometry: Conic Sections

Parabola, ellipse, and hyperbola for JEE Main aspirants.

📋 Course Learning Outcomes

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

  1. Identify standard forms of parabola, ellipse, and hyperbola and extract focus, directrix, and eccentricity [Apply]
  2. Compute equations of tangents and normals to conics at given points or with specified slopes [Apply]
  3. Apply chord-of-contact and pair-of-tangents formulas to standard conics [Apply]
  4. Analyze director and auxiliary circles, and asymptotes of a hyperbola [Analyze]
  5. Evaluate focal-chord and reflection properties to solve geometric optimization problems [Evaluate]
  6. Solve JEE Main MCQs on conics by recognizing parametric and standard-form patterns rapidly [Apply]

📚 Chapters

  1. Parabola — Standard Forms and Properties
  2. Tangent and Normal to a Parabola
  3. Chord of Contact and Pair of Tangents — Parabola
  4. Ellipse — Standard Forms and Properties
  5. Tangent and Normal to an Ellipse
  6. Director Circle and Auxiliary Circle
  7. Hyperbola — Standard Forms and Properties
  8. Tangent and Normal to a Hyperbola
  9. Asymptotes and Conjugate Hyperbola
  10. Eccentricity and Focal Properties

TutorDA LMS