In Class 12 Mathematics syllabus, the topics of Line and Plane are covered under the subject of 3D Geometry.
Line: The syllabus covers the following topics related to lines in 3D space:
- Direction cosines and direction ratios of a line.
- Cartesian and vector equations of a line passing through a given point and parallel to a given vector.
- Intersection of two lines.
- Angle between two lines.
- Shortest distance between two skew lines.
- Distance of a point from a line.
Plane: The syllabus covers the following topics related to planes in 3D space:
- Equation of a plane in different forms, such as Cartesian, vector, and normal forms.
- Angle between two planes.
- Distance of a point from a plane.
- Intersection of a line and a plane.
- Intersection of two planes.
- Angle between a line and a plane.
The study of lines and planes in 3D space is important in various fields, including physics, engineering, computer graphics, and robotics. The Class 12 Mathematics syllabus provides a foundation for further study in these fields and enables students to solve problems related to distances, angles, and intersections in 3D space.