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Syllabus

Introduction To Three Dimensional Geometry — Syllabus

MHT-CET · Mathematics

Topics covered in Introduction To Three Dimensional Geometry for MHT-CET Mathematics. Understand the syllabus structure and key areas to focus on.

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A basic representation of the three-dimensional Cartesian coordinate system showing the X, Y, and Z axes intersecting at the origin.
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Introduction To Three Dimensional Geometry — Syllabus & Topics

Topics covered in Introduction To Three Dimensional Geometry for MHT-CET Mathematics.

Topics in Introduction To Three Dimensional Geometry

1

Coordinate System in 3D Space

  • Three perpendicular axes (X, Y, Z) intersecting at origin O(0,0,0)
  • Any point P in space has coordinates (x, y, z) representing distances from YZ, ZX, and XY planes respectively
  • Right-hand rule: Curl fingers from positive X to positive Y, thumb points to positive Z
2

Distance Formula in 3D Space

  • Extension of 2D distance formula using Pythagorean theorem in 3D
  • Always results in positive value (distance cannot be negative)
  • Used to find lengths of line segments, diagonals, and verify geometric properties
3

Section Formula in 3D

  • Extends 2D section formula to find coordinates of point dividing line segment in given ratio
  • Two types: Internal division (point lies between given points) and External division (point lies outside)
  • Internal division uses (m+n) in denominator, external division uses (m-n)
4

Centroid of Triangle

  • Centroid is the point where three medians of triangle intersect
  • Divides each median in ratio 2:1 from vertex
  • Always lies inside the triangle

Key Concepts

A 3D coordinate system uses threeThe three coordinate planesFor two points P₁(x₁When point M divides line segmentFor triangle with vertices A(x₁

Frequently Asked Questions

What topics are covered in Introduction To Three Dimensional Geometry for MHT-CET?
Introduction To Three Dimensional Geometry is an important chapter in MHT-CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Coordinate System in 3D Space, Distance Formula in 3D Space, Section Formula in 3D, Centroid of Triangle.
How important is Introduction To Three Dimensional Geometry for MHT-CET?
Introduction To Three Dimensional Geometry is a frequently tested chapter in MHT-CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 100 practice questions available for this chapter.
How to prepare Introduction To Three Dimensional Geometry for MHT-CET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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