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# NCERT Class 12 Maths Solution

## NCERT Solutions for Class 12 Maths CHAPTER-11: THREE DIMENSIONAL GEOMETRY

Three – Dimensional Geometry – summary: Direction cosines and direction ratios of a line joining two points.Cartesian equation 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.

Get 100% correct NCERT Solutions for class XII Maths (all chapters) solved by professional Maths Professors. We offer step by step solutions for questions given at school XII maths text-book as per CBSE Board guidelines from the newest NCERT book for class XII maths.

Chapter 11: 3 Dimensional Geometry
The chapter 3 Dimensional Geometry can take you thru the study of the direction cosines and direction ratios of a line joining 2 points and conjointly regarding the equations of lines and planes in space under completely different conditions. together with that, you may conjointly get to understand regarding angle between 2 lines, a line and a plane, two planes,shortest distance between 2 skew lines and distance of a point from a plane.

The topics and sub-topics in Chapter 11 Three Dimensional Geometry

11.1 Introduction
11.2 Direction Cosines and Direction Ratios of a Line
11.2.1 Relation between the direction cosines of a line
11.2.2 Direction cosines of a line passing through two points
11.3 Equation of a Line in Space
11.3.1 Equation of a line through a given point and parallel to a given vector
11.3.2 Equation of a line passing through two given points
11.4 Angle between Two Lines
11.5 Shortest Distance between Two Lines
11.5.1 Distance between two skew lines
11.5.2 Distance between parallel lines
11.6 Plane
11.6.1 Equation of a plane in normal form
11.6.2 Equation of a plane perpendicular to a given vector and passing through a given point
11.6.3 Equation of a plane passing through three non collinear points
11.6.4 Intercept form of the equation of a plane
11.6.5 Plane passing through the intersection of two given planes
11.7 Coplanarity of Two Lines
11.8 Angle between Two Planes
11.9 Distance of a Point from a Plane
11.10 Angle between a Line and a Plane