The ratios are a₁/a₂ = 9/18 = 1/2, b₁/b₂ = 3/6 = 1/2 and c₁/c₂ = 12/24 = 1/2. Since a₁/a₂ = b₁/b₂ = c₁/c₂, the lines are coincident with infinitely many solutions.
Cbse released Class 9 Ganita Manjari Part 2 book
Chapter 13 Two Variables, One Line (Ganita Manjari 2) Solutions
From the equations, we identify the coefficients as a₁ = 9, b₁ = 3, c₁ = 12 and a₂ = 18, b₂ = 6, c₂ = 24. Calculating the ratios produces a₁/a₂ = 1/2, b₁/b₂ = 1/2 and c₁/c₂ = 1/2. Since a₁/a₂ = b₁/b₂ = c₁/c₂, the two equations represent the exact same line geometrically, which means the lines are coincident.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/