NCERT Solutions for Class 12 Maths Exercise 11.1

Class XII Maths Chapter 11 Exercise 11.1 solution for CBSE and state board students who are following 12th NCERT Books for their exams. Videos related to Exercise 11.1 are also given in Hindi and English Medium free to use without any login or registration.

Get here the NCERT Textbook Solutions for Class 12 Maths Chapter 11 Exercise 11.1 in PDF file format free to use. Solutions are updated for session 2024-25 in Hindi and English Medium with videos also. All the contents are based on latest NCERT Books for Class 12.

In Class XI, as we study analytical geometry in two dimensions and introduce three-dimensional geometry, we limit ourselves to Cartesian methods only. In class 12 Maths chapter 10, we have learned about some basic concepts of vectors. Now we will use vector algebra for three-dimensional geometry. The purpose of this approach to three-dimensional geometry is that it makes the study simple and elegant.

In Mathematics Class 12, Chapter 11, we will study about the fundamentals of 3-D geometry like the direction cosine and direction relationship of a line joining two points and we will also discuss equations of lines and planes in different situations, the angle between two lines, two planes. , A line and a plane, the shortest distance between two oblique lines and the distance of a plane from a point. Most of the above results are obtained in vector form. However, we will also translate these results into Cartesian form, which sometimes presents a clear geometric and analytical picture of the situation.

We have gone through the equation of lines in two dimensions in eleventh grade, now we will study vector and Cartesian equations of a line in space. A line is uniquely determined if (i) passes through a given point and is its given direction, or (ii) passes through two given points.