3 Days Timetable: Circle | Study Plan for JEE PDF Download

JEE Study Plan for "Circle"

1. Introduction

The chapter on Circle is significant in both JEE Main and Advanced exams, frequently appearing in direct problems related to the equations of circles, tangents, normals, and intersections with lines. This chapter has a scoring potential of approximately 4-6 marks, making it essential for aspirants to thoroughly grasp its core concepts. For detailed study resources on this chapter, click here: Circle: Theorems and Equation. This structured revision plan will assist you in effective retention, enhance your problem-solving speed, and build confidence as you approach the exam.

2. Topics to Cover

• Definition and Properties of Circles
• Standard Equation of Circles
• General Equation of a Circle
• Tangents and Normals to a Circle
• Chord of Contact
• Length of Tangent
• Intersection of a Line and a Circle
• Family of Circles
• Orthogonal Circles
• Applications of Conic Sections

For comprehensive revision notes, see: Revision Notes: Conic Section.

3. JEE Study Plan for "Circle" (3 Days)

JEE Study Plan for Circles

Day 1: Fundamental Concepts and Equations

• What to Cover:
  • Definition and Properties of Circles
  • Standard and General Equation of Circles
• Daily Study Goals:
  • Read through the Detailed Notes: Circles.
  • Understand the derivations of standard forms.
• Study Tips:
  1. Create a mind map summarising the key properties and equations of circles. Mindmap: Circle.
  2. Use flashcards to memorise formulas and theorems. Flashcards: Circle.
  3. Solve the Test: Circle- 1 to assess understanding.
• Practice Questions:
  • Solve PYQs related to the standard and general equations of circles.

Day 2: Tangents, Normals, and Properties

• What to Cover:
  • Tangents and Normals to a Circle
  • Chord of Contact and Length of Tangent
• Daily Study Goals:
  • Study the concepts of tangents and normals from How to Derive Equation of Tangent and Normal to Circle.
  • Review examples and practice derivations.
• Study Tips:
  1. Work through solved examples to enhance understanding. Solved Examples: Circle.
  2. Use the NCERT Solutions for Exercise 10.1 for problem practice. NCERT Solutions: Exercise 10.1 - Conic Sections.
  3. Solve the Test: Circle- 2 for assessment.
• Practice Questions:
  • Focus on JEE PYQs regarding tangents and normals to circles.

Day 3: Applications and Revision

• What to Cover:
  • Intersection of a Line and a Circle
  • Applications of Conic Sections
• Daily Study Goals:
  • Review the methods to solve intersection problems. Refer to Intersection of a Line and a Circle.
  • Consolidate understanding of all concepts.
• Study Tips:
  1. Revisit the important formulas and key concepts using the Important Formulas: Conic Section.
  2. Create a summary sheet of key equations and properties to aid in quick revision.
  3. Solve the full-length mock test focusing on Circles.
• Practice Questions:
  • Finish off with the Test: Circle- 3 and review any incorrect answers.

4. Last Day – Final JEE Revision

• Summary of Key Concepts & Formulas:
  • Create a quick reference sheet with all essential formulas and theorems related to circles.
• Reinforce Learning:
  • Utilise mind maps and revision flashcards to solidify your memory of key topics.
• Practice:
  • Solve previous years’ JEE questions focusing on the chapter Circle from Circles: JEE Mains Previous Year Questions (2021 - 2025).
  • Take a full-length mock test to assess your readiness.