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

Division Formula

(i) Internal Division:

If , the is said to be divide the line segment internally in the ratio , where coordinates of , and are and respectively, and  , then

Hence,

(ii) External Division:

If or , then is said to be divide the line segment externally into the segments and .

The ratio of external division being given by either or .

Hence

Case (1)

Hence

Case (2)

Hence

Formula:

If divides , the line segment joining and externally where , then

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