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Piyush365
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Asked: 2026-10-05T09:31:15+00:00 In:

Use the ratios a₁/a₂, b₁/b₂, c₁/c₂ to determine whether the lines representing 6x – 3y + 10 = 0 and 2x – y + 9 = 0 intersect at a point, are parallel or are coincident.

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Here, a₁/a₂ = 6/2 = 3, b₁/b₂ = -3/(-1) = 3 and c₁/c₂ = 10/9. Since a₁/a₂ = b₁/b₂ ≠ c₁/c₂, the lines are parallel and possess no common solution.

Cbse released Class 9 Ganita Manjari Part 2 book
Chapter 13 Two Variables, One Line (Ganita Manjari 2) Solutions

2x - y + 9 = 0 intersect at a pointdetermine whether the lines representing 6x - 3y + 10 = 0ganita manjari part 2 chapter 13 question answerganita manjari part 2 chapter 13 two variablesone line solutionsone line solutions – ganita manjari part ii chapter 13two variables
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    1. Comparing the coefficients with the standard form gives a₁ = 6, b₁ = -3, c₁ = 10 and a₂ = 2, b₂ = -1, c₂ = 9. We find that a₁/a₂ = 3, b₁/b₂ = 3, but c₁/c₂ = 10/9. Since a₁/a₂ = b₁/b₂ ≠ c₁/c₂, both lines have identical slopes but different intercepts, making them strictly parallel without any intersection point.

       

      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/

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