Hushar Mulga
@Rohit
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View all Textbook solutions of Class 10 Mathematics part 1

Chapter 6 Line and Plane Solutions Download

In Class 12 Mathematics syllabus, the topics of Line and Plane are covered under the subject of 3D Geometry.

  1. 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.
  2. 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.