Introduction to Three Dimensional Geometry Class 11 Notes Maths Chapter 12

Class 11 Maths Notes students can refer to the Introduction to Three Dimensional Geometry Class 11 Notes Maths Chapter 12 https://www.cbselabs.com/introduction-to-three-dimensional-geometry-class-11-notes/ Pdf here. They can also access the CBSE Class 11 Introduction to Three Dimensional Geometry Chapter 12 Notes while gearing up for their Board exams.

CBSE Class 11 Maths Notes Chapter 12 Introduction to Three Dimensional Geometry

Introduction To Three Dimensional Geometry Class 11 Notes Chapter 12

Coordinate Axes
In three dimensions, the coordinate axes of a rectangular cartesian coordinate system are three mutually perpendicular lines. These axes are called the X, Y and Z axes.

Coordinate Planes
The three planes determined by the pair of axes are the coordinate planes. These planes are called XY, YZ and ZX plane and they divide the space into eight regions known as octants.

Introduction To 3d Geometry Class 11 Notes Chapter 12

Coordinates of a Point in Space
The coordinates of a point in the space are the perpendicular distances from P on three mutually perpendicular coordinate planes YZ, ZX, and XY respectively. The coordinates of a point P are written in the form of triplet like (x, y, z).
The coordinates of any point on

  • X-axis is of the form (x, 0,0)
  • Y-axis is of the form (0, y, 0)
  • Z-axis is of the form (0, 0, z)
  • XY-plane are of the form (x, y, 0)
  • YZ-plane is of the form (0, y, z)
  • ZX-plane are of the form (x, 0, z)

Distance Formula
The distance between two points P(x1, y1, z1) and Q(x2, y2, z2) is given by
Introduction To Three Dimensional Geometry Class 11 Notes Chapter 12

The distance of a point P(x, y, z) from the origin O(0, 0, 0) is given by
OP = \(\sqrt { { x }^{ 2 }+{ y }^{ 2 }+{ z }^{ 2 } }\)

3d Geometry Class 11 Notes Chapter 12

Section Formula
The coordinates of the point R which divides the line segment joining two points P(x1, y1, z1) and Q(x2, y2, z2) internally or externally in the ratio m : n are given by
Introduction To 3d Geometry Class 11 Notes Chapter 12

The coordinates of the mid-point of the line segment joining two points P(x1, y1, z1) and Q(x2, y2, z2) are
3d Geometry Class 11 Notes Chapter 12

The coordinates of the centroid of the triangle, whose vertices are (x1, y1, z1), (x2, y2, z2) and (x3, y3, z3) are
3d Geometry Class 11 Notes Pdf Chapter 12

3d Geometry Class 11 Notes Pdf Chapter 12

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