JEE Advanced Math — Coordinate Geometry: Circles
Circles for JEE Advanced aspirants.
📋 Course Learning Outcomes
On successful completion of this course, the learner will be able to:
- Analyze coaxial systems of circles and characterize their radical axes and limiting points [Analyze]
- Derive the polar of a point with respect to a circle and apply pole-polar duality [Create]
- Evaluate orthogonality conditions between two circles and apply them to family problems [Evaluate]
- Apply inversion as a transformation that maps circles to circles or lines [Apply]
- Investigate common tangents — direct and transverse — to two given circles [Analyze]
- Solve JEE Advanced paragraph and integer problems on circles [Evaluate]
📚 Chapters
- Equation of a Circle — Various Forms
- Circle through Three Points and Diameter Form
- Tangent, Normal and Pair of Tangents
- Chord of Contact and Polar of a Point
- Power of a Point
- Family of Circles
- Two Circles — Common Chord and Tangents
- Radical Axis and Coaxial System
- Orthogonality and Inversion — Introduction
- Mixed Advanced Problems
TutorDA LMS