Linear Equations in Two Variables
Maharashtra Board · Class 10 · Mathematics
Most important questions from Linear Equations in Two Variables for Maharashtra Board Class 10 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Sample Questions
Which of the following points lie on the line 2x + 3y = 12?
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(0, 4), (6, 0), (3, 2)
Check each point: (0,4): 2(0)+3(4)=12 ✓, (6,0): 2(6)+3(0)=12 ✓, (3,2): 2(3)+3(2)=12 ✓, (1,3): 2(1)+3(3)=11 ✗, (2,2): 2(2)+3(2)=10 ✗
Find the value of the determinant |3 2| |1 4|
The graph of a linear equation in two variables is always a straight line.
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True
By definition, a linear equation in two variables ax + by + c = 0 always represents a straight line on the coordinate plane.
Which equations can be converted to linear form using substitution?
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2/x + 3/y = 5, 1/(x+1) + 2/(y-3) = 4
First equation: let u = 1/x, v = 1/y gives 2u + 3v = 5. Second equation: let u = 1/(x+1), v = 1/(y-3) gives u + 2v = 4. Other equations contain x² or xy terms.
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