# Ex 3.2, 6

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 3.2, 6 Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (i) intersecting lines Equation of First line : 2x + 3y − 8 = 0 Let Equation of 2nd line be ax + by + c = 0 For intersecting lines: 𝑎_1/𝑎_2 ≠𝑏_1/𝑏_2 Here, 𝑎_1= 2 𝑏_1= 3 𝑎_2 = 𝑎 𝑏_2 = 𝑏 Hence, 2/𝑎 ≠3/𝑏 So, we assume a value of a and b such that equation (1) is satisfied Let equation of second line be 3x + 2y + 4 = 0 Here, a = 3, b = 2, c = 4 & equation is satisfied 2/3 ≠ 3/2 Ex 3.2, 6 Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (ii) parallel lines Equation of First line : 2x + 3y − 8 = 0 Let Equation of 2nd line be ax + by + c = 0 For a pair of parallel lines: 𝑎_1/𝑎_2 = 𝑏_1/𝑏_2 ≠𝑐_1/𝑐_2 Here, 𝑎_1= 2 𝑏_1= 3 𝑐_1= − 8 𝑎_2 = 𝑎 𝑏_2 = 𝑏 𝑐_2 = 𝑐 Hence, 2/𝑎 = 3/𝑏≠(−8)/𝑐 So, we assume a value of a and b such that equation (1) is satisfied Let equation of line be 2x + 3y + 4 = 0 Here, a = 2, b = 6, c = 4 & equation is satisfied 2/2 = 3/3 " "≠(−8)/4 Ex 3.2, 6 Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (iii) coincident lines Equation of First line : 2x + 3y − 8 = 0 Let Equation of 2nd line be ax + by + c = 0 For a pair of parallel lines: 𝑎_1/𝑎_2 = 𝑏_1/𝑏_2 = 𝑐_1/𝑐_2 Here, 𝑎_1= 2 𝑏_1= 3 𝑐_1= − 8 𝑎_2 = 𝑎 𝑏_2 = 𝑏 𝑐_2 = 𝑐 Hence, 2/𝑎 = 3/𝑏=(−8)/𝑐 So, we assume a value of a and b such that equation (1) is satisfied Let equation of line be 4x + 6y – 16 = 0 Here, a = 4, b = 6, c = –16 & equation is satisfied 2/4 = 3/6 = (−8)/(−16)

Chapter 3 Class 10 Pair of Linear Equations in Two Variables

Example 6
Important

Example 10 Important

Example 11 Important

Example 13 Important

Example 14 Important

Example 19 Important

Ex 3.2, 1 Important

Ex 3.2, 3 Important

Ex 3.2, 6 Important You are here

Ex 3.2, 7 Important

Ex 3.5, 2 Important

Ex 3.6, 1 (i) and (ii) Important

Ex 3.6, 1 (iii) and (iv) Important

Ex 3.6, 1 (v) and (vi) Important

Ex 3.6, 1 (vii) and (viii) Important

Ex 3.6, 2 Important

Class 10

Important Questions for Exam - Class 10

- Chapter 1 Class 10 Real Numbers
- Chapter 2 Class 10 Polynomials
- Chapter 3 Class 10 Pair of Linear Equations in Two Variables
- Chapter 4 Class 10 Quadratic Equations
- Chapter 5 Class 10 Arithmetic Progressions
- Chapter 6 Class 10 Triangles
- Chapter 7 Class 10 Coordinate Geometry
- Chapter 8 Class 10 Introduction to Trignometry
- Chapter 9 Class 10 Some Applications of Trignometry
- Chapter 10 Class 10 Circles
- Chapter 11 Class 10 Constructions
- Chapter 12 Class 10 Areas related to Circles
- Chapter 13 Class 10 Surface Areas and Volumes
- Chapter 14 Class 10 Statistics
- Chapter 15 Class 10 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.