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👉Previous Video: • Three-Dimensional Geometry - Exercise 11.2... 👉Next Video: • Linear Programming - Chapter Overview and ... ======================================================= ✔️📚👉 Watch Full Free Course Videos: https://www.magnetbrains.com ✔️📚👉 Grab E-book & E-Notes by Expert Teachers Here: https://www.magnetbrains.com/notes ======================================================= 📢 Full Playlist Link: • Class 12 Maths (By Zeeshan Sir) | Complete... ✅ In this video, ✔️ Class: 12th ✔️ Subject: Maths ✔️ Chapter: Three-Dimensional Geometry (Chapter 11) ✔️ Topic Name: Miscellaneous Exercise ✔️ Topics Covered In This Video (By Zeeshan Sir): Unlock the secrets to mastering Class 12 Maths with our latest video on 'Miscellaneous Exercise' of Chapter 11 - "Three-Dimensional Geometry" Zeeshan Sir takes you on a deep dive into the core concepts, essential formulas, and problem-solving techniques that are crucial for your success. Elevate your understanding, boost your confidence, and ace your exams with comprehensive explanations and practical examples. Join us on this mathematical journey and take your skills to the next level! ======================================================= 00:00 Introduction: Miscellaneous Exercise 01:20 Que. 1 Find the angle between the lines whose direction ratios are a, b, c and b - c, c-a, a - b. 14:21 Que. 2 Find the equation of a line parallel to x-axis and passing through the origin. 25:54 Que. 3 If the lines 32:31 Que. 4 Find the shortest distance between lines 47:51 Que. 5 Find the vector equation of the line passing through the point (1, 2, −4) and perpendicular to the two lines: 01:05:08 Website Overview ======================================================= Why study from Magnet Brains? Magnet Brains is an online education platform that helps to gives you NCERT/CBSE curriculum-based full courses free from Kindergarten to Class 12th so that you can perform well in any and all exams you give in your academic career. 👉 Contact us 🤑🤑 ➡️ Connect with us: support@magnetbrains.com ➡️ Website: https://www.magnetbrains.com/ ➡️ Subscribe to us on YouTube: / @magnetbrainseducation ➡️ Subscribe to Magnet Brains Hindi Medium: / @magnetbrainshindimedium ➡️ Facebook:- https://www.magnetbrains.com/out/face... ➡️ Instagram:- https://www.magnetbrains.com/out/inst... #class12maths #threedimensionalgeometry #miscellaneousexercise #cbsemaths #ncertsolutions #ncertmaths #chapter11maths #cbse #ncert #magnetbrains class 12 maths three-dimensional geometry miscellaneous exercise solutions ncert solutions for miscellaneous exercise class 12 maths step-by-step solutions for miscellaneous exercise class 12 maths important questions from three-dimensional geometry class 12 cbse class 12 maths 3d geometry miscellaneous exercise how to solve miscellaneous exercise class 12 maths ncert class 12 maths chapter 11 miscellaneous exercise explained Disclaimer: "This video is for educational and informational purposes only and is not intended to infringe on any copyrights. If you believe that this video has used any copyrighted material in a way that constitutes copyright infringement, please contact us at support@magnetbrains.com and we will take appropriate action."