### 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

# Cartesian Coordinate System & Polar Coordinate System

Cartesian Co-ordinate System:

The plane of   and – axis is known as the coordinate plane or the Cartesian Plane.

By the definition of Cartesian Coordinates:

(i)

(ii)

(iii)

(iv)

Polar Coordinate System:

The position of a point in the Cartesian plane with respect to the positive -axis and the origin . In this system   and are known as the intitial ray and the pole respectively.

Definition of for

(i) For ,

(ii) For

In general,

Or

For

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