The Focal Chord Formula Nobody Teaches You | JEE Main 2026 | t₁t₂ = −1 Fully Explained скачать в хорошем качестве

The Focal Chord Formula Nobody Teaches You | JEE Main 2026 | t₁t₂ = −1 Fully Explained

JEE Main 2026 asked Focal Chord questions in TWO different January shifts — and most students lost 8 marks because they never understood WHY t₁t₂ = −1. This video gives you the complete proof, both questions fully solved, and the one property that makes every focal chord question a guaranteed 4 marks. 🔥 ━━━━━━━━━━━━━━━━━━━━━━━━━━━ 📌 QUESTIONS COVERED ━━━━━━━━━━━━━━━━━━━━━━━━━━━ JEE Main 2026 | 21 January Shift 2 Parabola y² = 16x One end of focal chord = (16, 16) P(α, β) divides the focal chord internally in ratio 5:2 → Find the minimum value of α + β ✅ Answer: 7 JEE Main 2026 | 28 January Shift 2 Parabola y² = 8x, Focus = A Line y = mx + c intersects parabola at B and C Centroid of triangle ABC = (7/3, 4/3) → Find (BC)² ✅ Answer: 80 ━━━━━━━━━━━━━━━━━━━━━━━━━━━ 💡 CONCEPTS COVERED IN THIS VIDEO ━━━━━━━━━━━━━━━━━━━━━━━━━━━ → What is a Focal Chord — definition from scratch → Full proof of why t₁t₂ = −1 (step by step) → Why t₁ and t₂ always have OPPOSITE signs → Parametric form of parabola y²=4ax → point (at², 2at) → Finding 'a' correctly from parabola equation → Section formula for internal division — two cases → Why the question says MINIMUM value — both cases explained → Centroid formula applied when one vertex is the Focus → BC² using parametric distance formula → t₁ + t₂ and t₁t₂ method — no need to find m and c → 10-second numerical verification trick ━━━━━━━━━━━━━━━━━━━━━━━━━━━ ⚠️ TOP MISTAKES STUDENTS MAKE ━━━━━━━━━━━━━━━━━━━━━━━━━━━ Mistake 1 → Using t₁t₂ = +1 instead of −1 Mistake 2 → Reading 4a = 16 as a = 16 (correct: a = 4) Mistake 3 → Missing the MINIMUM keyword — only solving one case Mistake 4 → Forgetting A is the FOCUS in the centroid formula Mistake 5 → Finding m and c separately — completely unnecessary All 5 mistakes explained with the exact fix for each. ━━━━━━━━━━━━━━━━━━━━━━━━━━━ ✅ FINAL ANSWERS ━━━━━━━━━━━━━━━━━━━━━━━━━━━ Q2 → α + β minimum = 7 (Option 3) Q3 → (BC)² = 80 (Option 1) ━━━━━━━━━━━━━━━━━━━━━━━━━━━ 🔑 KEY TAKEAWAY ━━━━━━━━━━━━━━━━━━━━━━━━━━━ JEE Main 2026 tested Focal Chord in TWO shifts. JEE April 2026 and JEE Main 2027 will test it again. One formula. Infinite questions. Learn it once. 🎯 ━━━━━━━━━━━━━━━━━━━━━━━━━━━ 📣 JOIN THE XEROFINITY FAMILY ━━━━━━━━━━━━━━━━━━━━━━━━━━━ 🔔 Subscribe for daily JEE Main 2026 full solutions 👍 Like if t₁t₂ = −1 finally makes sense to you 💬 Comment which mistake YOU were making — be honest! 📲 Share with every JEE friend who loses marks on Focal Chord ━━━━━━━━━━━━━━━━━━━━━━━━━━━ PADHO SAHI, KARO SAHI, POOCHO SAHI, DARO NAHI! Let’s solve it together. #JEEMain2026 #FocalChord #ParabolaJEE #JEEMaths #ConicSections #JEEAdvanced2026 #IITJEEMaths #JEEMainJanuary2026 #Xerofinity #JEE2026