15 Years PYQs of Straight Line in 3D | UPSC CSE Maths Optional - Analytical Geometry | скачать в хорошем качестве

15 Years PYQs of Straight Line in 3D | UPSC CSE Maths Optional - Analytical Geometry |

#upscmathsoptional #analyticalgeometry #straightline #3dgeometry #upscpyqs #mathsoptional #safaltakiore #priyankagodara #upscmains2025 15 Years PYQs of Straight Line in 3D | UPSC CSE Maths Optional - Analytical Geometry | #upsc #maths Welcome to SAFALTA KI ORE with Priyanka Godara! In this video, we solve 15 Years (2010–2025) of UPSC CSE Maths Optional PYQs from Analytical Geometry – Straight Line (3D Geometry), a core topic that frequently appears in Paper-1. 📌 Topics covered in this session: ✔ Different forms of equation of a straight line in 3D  • Vector form  • Parametric form  • Symmetric form ✔ Direction ratios & direction cosines of a line ✔ Line joining two points ✔ Angle between two lines ✔ Condition for parallel and perpendicular lines ✔ Line parallel or perpendicular to a plane ✔ Shortest distance between two skew lines (basic PYQ cases) ✔ Repeated UPSC PYQ patterns from the last 15 years ✔ Step-by-step UPSC mains answer-writing format ✔ Common mistakes & presentation tips 🎯 Why this topic is important: 📌 Straight line is the foundation of 3D analytical geometry 📌 Frequently combined with planes and shortest distance problems 📌 Highly scoring when concepts and diagrams are neat 👩‍🎓 This video is ideal for: 🔹 UPSC CSE Maths Optional aspirants 🔹 IIT-JAM / GATE / CUET-PG Mathematics students 🔹 B.Sc / B.Tech students studying coordinate geometry 🔹 Anyone revising 3D straight line geometry upsc maths optional straight line upsc straight line in 3d equation of straight line analytical geometry upsc 3d geometry line direction ratios of line direction cosines of line angle between two lines parallel and perpendicular lines shortest distance between lines analytical geometry pyqs 15 years maths optional pyqs coordinate geometry upsc priyanka godara maths optional safalta ki ore upsc mains maths solutions 📌 Watch other Analytical Geometry PYQ videos: • Direction Ratios & Direction Cosines • Plane Geometry • Angle Between Line & Plane • Shortest Distance Problems If this video helps you, please LIKE ❤️ | COMMENT ✍️ | SHARE 📢 | SUBSCRIBE 🔔 Your support motivates the complete 15-year PYQ series!