For (i) intersecting: 3x + 2y – 9 = 0 (since 2/3 ≠ 3/2). For (ii) parallel: 2x + 3y – 12 = 0 (equal coefficients, different constant). For (iii) coincident: 4x + 6y – 16 = 0 (doubling every term).
Ganita Manjari Class 9 Maths part 2 Chapter 13 Solutions
Class 9 Ganita Manjari Part 2 Chapter 13 Page 120 Question Answer
For intersecting lines, ratios of coefficients must differ; choosing 3x + 2y – 9 = 0 satisfies a₁/a₂ ≠ b₁/b₂ as 2/3 ≠ 3/2. For parallel lines, variable ratios must match while constants differ; choosing 2x + 3y – 12 = 0 gives 2/2 = 3/3 ≠ -8/(-12). For coincident lines, all ratios must match; multiplying by 2 yields 4x + 6y – 16 = 0, satisfying a₁/a₂ = b₁/b₂ = c₁/c₂.
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