JEEM-12 — JEE Main Math — Coordinate Geometry: Circles

JEE Main Math — Coordinate Geometry: Circles

Circles in 2D coordinate geometry for JEE Main aspirants.

📋 Course Learning Outcomes

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

  1. Derive equations of circles from standard, general, diameter, and three-point conditions [Apply]
  2. Compute equations of tangent, normal, chord of contact, and pair of tangents for a given circle [Apply]
  3. Apply power-of-a-point and length-of-tangent formulas to solve geometric configurations [Apply]
  4. Analyze the relative position of two circles and determine common chords and tangents [Analyze]
  5. Evaluate orthogonality conditions and locate radical axes and radical centres [Evaluate]
  6. Solve JEE Main MCQs on circles by leveraging family-of-circles tricks for speed [Apply]

📚 Chapters

  1. Equation of a Circle — Standard and General Forms
  2. Circle through Three Points
  3. Tangent and Normal to a Circle
  4. Length of Tangent and Power of a Point
  5. Pair of Tangents and Chord of Contact
  6. Family of Circles
  7. Two Circles — Position and Common Chord
  8. Radical Axis and Radical Center
  9. Orthogonality of Circles

TutorDA LMS