Students Miss This Detail — But It Changes Everything! | JEE Advanced 2023 | Circles скачать в хорошем качестве

Students Miss This Detail — But It Changes Everything! | JEE Advanced 2023 | Circles

Students Miss This Detail — But It Changes Everything! | JEE Advanced 2023 | Circles | Factorial's Question of the Day Let C₁ be the circle of radius 1 with center at the origin. Let C₂ be the circle of radius r with center at A = (4, 1), where 1 r 3. Two distinct common tangents PQ and ST of C₁ and C₂ are drawn. The tangent PQ touches C₁ at P and C₂ at Q. The tangent ST touches C₁ at S and C₂ at T. Midpoints of the line segments PQ and ST are joined to form a line which meets the x-axis at a point B. If AB = √5, find the value of r². In this video, we discuss a wonderful JEE Advanced 2023 Circles problem — a perfect blend of geometry, tangents, and the powerful concept of the Radical Axis. This question is a great example of why reading the statement carefully till the end matters. One subtle line in the problem provides the key clue that unlocks the entire solution. In this lesson, you will learn: How common tangents behave for two circles The role of midpoint loci Radical axis properties in action How to simplify geometry by spotting the hidden structure This is an important problem for serious JEE Advanced 2026 aspirants, as it teaches both technique and exam temperament. 📘 Chapter: Circles + Coordinate Geometry 🎯 Series: Factorial’s Question of the Day — JEE Advanced 2026 🔥 Key Idea: Radical Axis + careful reading 📲 Join our Telegram community for notes & PDFs: 👉 https://t.me/academyfactorial #JEE2026 #JEEMaths2026 #JEEAdvanced2023 #JEEAdvanced #FactorialAcademy #Circles #CoordinateGeometry #RadicalAxis #CommonTangents #QOTD #IITJEE