Touching Circles Trick in 59 Seconds! 🔥 | JEE Geometry
❓ Concept 🎬 Touching Circles Trick in 59 Sec Do circles sirf ek point par touch karte hain? 👉 Matlab pure geometry ka magic — no heavy algebra needed! Bas centres + radii + section formula — aur answer seedha mil jaata hai . 🖼️ Concept Image ✍️ Short Explanation External tangency ka matlab: ✔ Circles overlap nahi karte ✔ Bas ek hi point par touch karte hain ✔ Aur centres–contact point ek straight line par hote hain Isliye equations likhne ki zarurat hi nahi — pure geometry se crack ho jaata hai. 🔹 Step 1 — Circle Touching Coordinate Axes Agar koi circle x-axis aur y-axis dono ko touch karta hai toh radius = axis se distance Isliye centre hota hai: ( ± r , ± r ) (\pm r,\ \pm r) Sign quadrant par depend karta hai . Example: Third quadrant → ( − r , − r ) (-r,-r) 🔹 Step 2 — External Tangency Condition (MOST IMPORTANT 🔥)** Do circles externally touch tabhi: Distance between centres = r 1 + r 2 \text{Distance between centres} ...