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# THREE DIMENSIONAL GEOMETRY

Mathematics For XII

Instructed by Puneet Dogra
Validity: 120 days
Free

Published    13-Jan-2017      Bilingual

This is chapter 11 of class 12th mathematics.In this chapter you will learn the following: Direction cosines/ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane. About the Teacher:- Puneet Dogra sir is our one the very active teacher who keeps on working for the students benefits. His passion for teaching makes him the best teacher of his subject. He teaching will change your experience of learning maths and will lead you to the desired scores or may be more. Moreover sir has some magical tips to make it much easier for you. He is very young and dynamic teacher. Puneet Dogra is very interactive teacher which will make you feel the real class. Puneet Dogra sir is the best motivator and keeps on inspiring you.

Section 1: Three Dimensional Geometry (This is a very concept for you to learn and is interesting too. Moreover the most interactive teacher it becomes easy as well. In this lecture you will learn about the line. Starting with equation of the line and different situations to find the equations of the line. You are requested to copy the formula so that you would be able to understand it and solve the questions based on it. You will learn many graphs and these graphs will surely add to your erudition. Moreover you will learn how the formula is derived. In this lecture Sir has discussed 4-6 questions and out of these 4-6 question, one is sure for the exam. It means nobody can touch your 6 marks. Sir has made them secure for you. Honing your calculating ability you will move to new concepts of Cartesian Equation and Vector Equation, Equation of line through 2 point , Cartesian Equation of a line from 2 points, angle between two points and then questions based on these concepts. You need not to learn many things, you just need to understand the concepts and that's it.)
Lecture 1 3D Geometry (In this lecture you will learn about the line. Starting with equation of the line and different situations to find the equations of the line. You are requested to copy the formula so that you would be able to understand it and solve the questions based on it. You will learn many graphs and these graphs will surely add to your erudition. Moreover you will learn how the formula is derived. In this lecture Sir has discussed 4-6 questions and out of these 4-6 question, one is sure for the exam. It means nobody can touch your 6 marks. Sir has made them secure for you. Honing your calculating ability you will move to new concepts of Cartesian Equation and Vector Equation, Equation of line through 2 point , Cartesian Equation of a line from 2 points, angle between two points and then questions based on these concepts. You need not to learn many things, you just need to understand the concepts and that's it.)

#### Puneet Dogra

 Phone: 95********94 Email: pun********@gmail.com Address: Institute:

Hello, I am Puneet Dogra faculty of Study Khazana. I am a very passionate teacher. I am going to change your experience of learning maths. My way of teaching will surely lead you to your desired scores or may be more.Moreover I will give some magical tips to make maths much easier for you.

##### Qualification

My highest qualification is MSc. in Mathematics from DU.

##### Biography

I have experience of more than 5 years in teaching.