Master Circles & Tangents.
Build a solid grasp of Circles according to the latest NCERT syllabus through clear lessons, Tangent properties, Theorem 10.1 ($OP \perp XY$), Theorem 10.2 ($PQ = PR$), and step-by-step solved geometric proofs.
Your learning path.
Follow the lessons in order and build your concepts step by step.
Tangent to a Circle & Theorem 10.1
Understand tangent definition, point of contact, and the complete proof of Theorem 10.1 (Radius is perpendicular to tangent at point of contact).
Number of Tangents & Theorem 10.2
Explore tangents from internal/external points and master the complete geometric proof of Theorem 10.2 (Lengths of external tangents are equal).
Applications & Solved NCERT Proofs
Master concentric circles chord problems, circumscribed quadrilaterals (AB + CD = AD + BC), and exam-focused NCERT questions.
Previous Year Questions (PYQs)
Practice official CBSE board exam questions (2020-2024) organized by year and mark distribution for self-assessment.
Understand the concept.
Then prove the theorems.
Start with the first lesson and master Circles step by step according to the latest NCERT pattern.