Posts

Showing posts with the label parabola focus directrix trick

JEE Main: Parabola from Focus–Directrix — Fast & Simple 💡

Image
  ❓ Concept 🎬 Parabola: Focus–Directrix Trick Parabola ka equation yaad nahi? 👉 Koi tension nahi! Bas focus–directrix definition yaad rakho — aur poora parabola khud-ba-khud ban jaata hai. 🖼️ Concept Image ✍️ Short Explanation Parabola ek distance-based curve hai. Equation derivation ya formula yaad karne ki zarurat hi nahi — sirf distance equality lagao, square karo, equation mil jaata hai. 🔹 Step 1 — Definition of Parabola Parabola = locus of a point P(x, y) such that Distance(P, Focus) = Distance(P, Directrix) Bas — yeh hi official definition hai 🔥 🔹 Step 2 — Distance Formula Concept ✔ Distance from focus → point-to-point distance using ( x − x 1 ) 2 + ( y − y 1 ) 2​ ✔ Distance from directrix → perpendicular distance from a line ∣ a x + b y + c ∣ a 2 + b 2​ 👉 In dono ko equal rakhte hain. 🔹 Step 3 — General Method (Always Works 💯)** Let P ( x , y ) P(x,y)  lie on parabola. Write: Distance(P, Focus) = Distance(P,...