### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Chapter 6: Sequence and Series
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probability

# Area of a Triangle

The area of a  triangle with vertices , and is denoted by , where

Example:

Let be a triangle with vertices and , then area of is

Corollary (Collinearity of three points)

The three points and will be collinear if the area of the triangle is zero.

i.e.

Example:

The points and are collinear when

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