Skip to main content
Super TutorResources
Chapter 22 of 27
SyllabusNotesTopicsQuestionsPlanFormulas
Syllabus

Introduction To Three Dimensional Geometry — Syllabus

IISER Aptitude Test · Mathematics

Topics covered in Introduction To Three Dimensional Geometry for IISER Aptitude Test Mathematics. Understand the syllabus structure and key areas to focus on.

Interactive on Super Tutor

Studying Introduction To Three Dimensional Geometry? Get the full chapter — free.

Practice questions, revision notes, formula sheet and AI doubt-solver — built for IISER Aptitude Test Mathematics.

Try Super Tutor — Free
A basic representation of the three-dimensional Cartesian coordinate system showing the X, Y, and Z axes intersecting at the origin.
Super Tutor

Learn better with visuals Super Tutor has hundreds of illustrations like this across every chapter — all free to try.

Get started

Introduction To Three Dimensional Geometry — Syllabus & Topics

Topics covered in Introduction To Three Dimensional Geometry for IISER Aptitude Test 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 IISER Aptitude Test?
Introduction To Three Dimensional Geometry is an important chapter in IISER Aptitude Test 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 IISER Aptitude Test?
Introduction To Three Dimensional Geometry is a frequently tested chapter in IISER Aptitude Test 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 IISER Aptitude Test?
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.

More resources for Introduction To Three Dimensional Geometry

All 27 chapters — IISER Aptitude Test Mathematics Syllabus

For IISER Aptitude Test aspirants

Get the full Introduction To Three Dimensional Geometry chapter — for free.

Practice questions, revision notes, formula sheet and AI doubt-solver for IISER Aptitude Test Mathematics.

Try Super Tutor Free
Try the full chapter — Free