### 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

# Condition of coincidence of lines   and coincidence lines if But in parallel lines, the condition satisfy Point of Intersection:

If two disticnt lines and , represented by the equations  intersect at then Note:  then

(i) if then and intersect at one point and it have unique solution.

(ii) If , then and never intesect, where and are parallel lines and having no solution.

(iii) If , then and are coincidenc linea and having infinitel many solutions.

Examples for Corresponding Conditions:

(i) (ii) (iii) Family of lines through the point of intersection of two lines:

Let -(i) -(ii)

Now consider the equation -(iii), represents family or system of lines where .

Conditions: , represents family of lines.

(i) through the point of intersections and , if they intersect.

(ii) parallel to and , if they are parallel.

Examples for Corresponding Conditions:  Scroll to Top