Complete Pyramid (Rectangular Base) + Common Tangents (DCT, TCT) | Mensuration & Geometry | SSC CGL
Abhas Saini Maths
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Complete Pyramid (Rectangular Base) + Common Tangents (DCT, TCT) | Mensuration & Geometry | SSC CGL
41 633 просмотра · 1 дн. назад
Abhas Saini Maths
549 тыс. подписчиков
41 633 просмотра · 1 дн. назад
DCT² − TCT² = 4Rr | Common Tangents Trick + Rectangular Pyramid Full Concept | SSC CGL
SSC CGL Geometry + Mensuration: Pyramid & Two Circles Common Tangents | Abhas Saini Maths
Common Tangents to Two Circles + Pyramid Formulas | Complete Concept & Tricks | SSC CGL 202
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SSC CGL Geometry aur Mensuration ka ek hi video me full concept: Rectangular Base wala Pyramid (Volume, Slant Height, LSA, TSA, Lateral Edge, Frustum) aur Common Tangents to Two Circles (DCT, TCT, 4Rr relation).
Is video me aapko formulas, trick aur exam-level questions milenge, jo SSC CGL, CGL Mains, CHSL, CPO, RRB NTPC aur Group D ke liye kaam aayenge.
⏱️ CHAPTERS
00:00 Introduction
[समय] Pyramid with Rectangular Base: Definition aur Parts
[समय] Volume = 1/3 × l × b × h
[समय] Slant Heights (dono alag kyu hoti hain)
[समय] LSA aur TSA
[समय] Lateral Edge ki length
[समय] Pyramid ko parallel kaatna (Frustum)
[समय] Pyramid ke Previous Year Questions
[समय] Common Tangents to Two Circles: DCT vs TCT
[समय] DCT = √(d² − (R − r)²)
[समय] TCT = √(d² − (R + r)²)
[समय] DCT² − TCT² = 4Rr (Useful Relation)
[समय] Circles ki 6 conditions: 4, 3, 2, 1, 0, ∞ tangents
[समय] Touching circles: PQ = 2√(Rr) aur PQ = 2r
[समय] Practice Questions
📌 KEY FORMULAS
Pyramid Volume = ⅓ × l × b × h
Slant heights = √(h² + b²/4) aur √(h² + l²/4)
LSA = l·√(h² + b²/4) + b·√(h² + l²/4)
TSA = LSA + l × b
Lateral Edge = √(h² + (l² + b²)/4)
DCT = √(d² − (R − r)²)
TCT = √(d² − (R + r)²)
DCT² − TCT² = 4Rr
Externally touching circles: PQ = 2√(Rr)
Equal radii circles: PQ = 2r
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