Chapter 06: Plane Curves I

Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Conic section

  • Conic sections
  • The parabola
  • The ellipse
  • The hyperbola
  • Asymptotes of a hyperbola
  • Pairs of lines
  • Rotation of axes
  • General conics
  • Tangents and normals
  • Polar coordinates
  • Relationship between rectangular and polar systems
  • Polar equation of conics
  • Polar equation of conics (independent method)
  • Sketching of curve in polar coordinates
  • Tangents and normals (polar coordinates)
  • Parametric representations of curves