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Linear Equations in Two Variables

Maharashtra Board · Class 10 · Mathematics

Practice quiz for Linear Equations in Two Variables — Maharashtra Board Class 10 Mathematics. MCQs and questions with answers to test your preparation.

45 questions25 flashcards5 concepts

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Quick Quiz: Linear Equations in Two Variables

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1

What is the solution of the system of equations x + y = 5 and x - y = 1?

2

Solve for x: 3x + 2y = 11 and x - y = 2

3

If two lines are parallel, their system of equations has:

4

Using Cramer's rule, if D = 0, the system of equations:

45 Questions·
multiple choicemultiple correcttext answertrue falsematchingordering

Sample Questions

1multiple correct

Which of the following points lie on the line 2x + 3y = 12?

Show answer

(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 ✗

2text answer

Find the value of the determinant |3 2| |1 4|

3true false

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.

4multiple correct

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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Frequently Asked Questions

What are the important topics in Linear Equations in Two Variables for Maharashtra Board Class 10 Mathematics?
Linear Equations in Two Variables covers several key topics that are frequently asked in Maharashtra Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Equations in Two Variables — Maharashtra Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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