Purely Real vs Purely Imaginary — One Identity to Crack All Questions! 🔥
❓ Concept 🎬 Purely Real / Imaginary Trick Complex numbers ke questions JEE mein scary lagte hain — lekin purely real / purely imaginary ka poora game 👉 sirf ek condition + ek rationalizing trick pe based hota hai. 🖼️ Concept Image ✍️ Short Explanation Jab question bole: expression purely real hai expression purely imaginary hai Toh yaad rakho 👇 👉 Real part aur Imaginary part ka zero hona hi sab kuch decide karta hai. 🔹 Step 1 — Basic Form of a Complex Number Har complex number likha ja sakta hai: z = x + i y z = x + iy Where: Real part = x = ℜ ( z ) x = \Re(z) Imaginary part = y = ℑ ( z ) y = \Im(z) Ye breakdown har question ka base hai. 🔹 Step 2 — Condition for Purely Real A complex number purely real tab hota hai jab: ℑ ( w ) = 0 \Im(w) = 0 👉 Matlab imaginary part bilkul zero. Examples: 5 5 ✔️ purely real 3 − 0 i 3 - 0i ✔️ purely real 2 + i 2 + i ❌ not purely real 🔹 Step 3 — Condition for Purely Imagin...