JEEA-18 — JEE Advanced Math — Three Dimensional Geometry

JEE Advanced Math — Three Dimensional Geometry

Three dimensional geometry for JEE Advanced aspirants.

📋 Course Learning Outcomes

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

  1. Analyze coplanarity and intersection of lines using scalar triple-product conditions [Analyze]
  2. Derive equations of planes through specified lines and points using normal-vector methods [Create]
  3. Evaluate shortest distances between two skew lines using vector projection [Evaluate]
  4. Apply equations of spheres and tangent planes to solve geometric problems in 3D [Apply]
  5. Investigate reflections of points and lines about planes [Analyze]
  6. Solve JEE Advanced paragraph and integer problems on 3D geometry [Evaluate]

📚 Chapters

  1. Direction Cosines and Direction Ratios
  2. Lines in Space — Various Forms
  3. Planes in Space — Various Forms
  4. Angle Between Lines and Planes
  5. Distance Formulas in 3D
  6. Shortest Distance Between Skew Lines
  7. Coplanarity and Intersection
  8. Sphere — Equation and Tangent Plane
  9. Geometry of Lines and Spheres
  10. Mixed Advanced Problems

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