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

Parallel Lines and Perpendicular Lines

and be two lines inclined in a same plane, where the angle between these two lines is zero, then   and is said to be parallel lines.

Perpendicular Lines:

and be two lines inclined in a same plane, where the angle between these two lines is ,  then   and   is said to be perpendicular lines.

Theorem:

If a pair of lines   and have slopes   and respectively, then

(i)   or

(i.e., Either   and are parallel or   and   are coincident lines )

(ii)

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