Three dimensional geometry is chapter-11 of class 12 and includes 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. This section is particularly made for the students of class 12 English medium students. For queries you can mail us at mail@studykhazana.com.

Section 1: Three Dimensional Geometry (This lecture is one of the most best lecture for all 12 where in just 4 questions this chapter will become the easiest ever. It covers many formulas but puneet Sir will make sure that you memorise all of the formulas listening the lecture only. You will start with vectors, understand its meaning and the position in a 3D plane.You will be given a practical idea of 3D positioning of certain points. You will learn about the components of vectors. Then you will understand some terms like Direction Ratio and Direction Cosines. You will learn these terms through many examples. Then You will move on to their formulas at different conditions. Then you will solve 4 questions which will surely clear all your doubts. You will learn proper way solving them in step by step manner to ensure you won’t lose even single marks.) | |||
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Lecture 1 | 3D Geometry Part -1 (This lecture is one of the most best lecture for all 12 where in just 4 questions this chapter will become the easiest ever. It covers many formulas but puneet Sir will make sure that you memorise all of the formulas listening the lecture only. You will start with vectors, understand its meaning and the position in a 3D plane.You will be given a practical idea of 3D positioning of certain points. You will learn about the components of vectors. Then you will understand some terms like Direction Ratio and Direction Cosines. You will learn these terms through many examples. Then You will move on to their formulas at different conditions. Then you will solve 4 questions which will surely clear all your doubts. You will learn proper way solving them in step by step manner to ensure you won’t lose even single marks.) | ||

Lecture 2 | 3D Geometry Part-2 (This is lecture-2 of 3D and in it you will study the following. 1) Equation of the line and 2) Equation of a plane. Watching this video we guarantee you that your 4 marks from equation of is sure and one question from the equation for the Plane is sure. We are going to help you to score the best and with those score your knowledge should also increase. In the last lecture if you remember we have learnt about Vectors, Direction Ratio and Direction Cosine. 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 thats it.) | ||

Lecture 3 | 3D Geometry Part-3 (In this lecture you will study about the equation of the line. This lecture is the third part of the 3D chapter. In the last lecture if you remember we have learnt about Direction Ratio and Direction Cosine. 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 4 | Practice Session-1 (This is the last lecture of 3D with practice questions. These questions are actually more than enough and will ensure you are 100% prepared for the test. For this session we request you to revise all the topics of 3D as per the lectures above. Your revision will make you strong and will make sure that your base is up to the mark. At the end you will be learn to solve the questions on your own, analyzing the questions and how to solve it step by step to ensure every single mark.) | ||

Lecture 5 | Practice Session-2 (In the last lecture you have solved some questions of plane and now in this lecture you will learn few more types of questions on plane. In this lecture you will also get to know the question which is surely asked in the exam. These questions are enough to prepare for exams. You are requested to watch the video in continuation and keep revising them otherwise you wont be able to solve any question. This chapter needs lot of Practice. The following questions are discussed here:- 1)Find the equation of the plane which is perpendicular to the plane 5x+ 3y+6z+8=0 and which contains a line of intersection of the planes x+2y+3z-4=0 and 2x+y-z+5=0. 2)Find the equation of the plane passing through the point A(1,2,1) and perpendicular to the line joining the points P(1,4,2) and Q(2,3,5). Also find the distance of the plane from the line (x+y)/2 = (y-5)/-1 = (z-1)/-1. 3) You will discuss the distance of the point from a given plane. 4) Equation of the plane when 3 points are given. 5)Find the 1) image of the point 2) Foot of perpendicular 3) Distance of the point from the plane if plane is 2x+4y-z=2 and point is (7,14,5). 6) Revision of all the formulas and question done in the class.) | ||

Lecture 6 | Practice Session-3 (This is the last lecture of the Three Dimensional Geometry and wherein you will learn the angles between two planes and the angle between a line and a plane. You will be clearly able to understand the differences and the way to check the coplanarity of two llines. You are going to learn the formulas and practice the questions based on the topic. Both the questions are from NCERT. You will thoroughly solve the questions with proper method. All the steps explained by the Sir are necessary to get the full score. With this video you now completely understand the chapter. For any doubt you can mail us at mail@studykhazana.com.) |

#### Puneet Dogra

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95********94 | Email: |
pun********@gmail.com |

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##### About Us

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.

## Courses taught by Puneet Dogra

### INTRODUCTION TO NDA MATHS AND TRICKS ON CONTINUITY & DIFFERENTIABILITY

By Puneet Dogra