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Test of consistency and solution of simultaneous linear equations in two or three variables using matrices Revision for JEE

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Revise Test of consistency and solution of simultaneous linear equations in two or three variables using matrices by covering every subtopic once, drilling formulas, then solving 12+ timed MCQs with full solutions.

Use this Test of consistency and solution of simultaneous linear equations in two or three variables using matrices revision checklist before mocks and the final exam. Reinforce concepts with 12+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: Test of consistency and solution of simultaneous linear equations in two or three variables using matrices
  2. 2.Relates to other subtopics in Matrices and Determinants
  3. 3.Matrix operations and types
  4. 4.Determinant evaluation and properties
  5. 5.Master Test of consistency and solution of simultaneous linear equations in two or three variables using matrices definitions and standard results
  6. 6.Solve 20 timed MCQs for Test of consistency and solution of simultaneous linear equations in two or three variables using matrices

Syllabus context

Part of Matrices and Determinants in JEE Main Mathematics.

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Q1MathsUnit 3: Matrices and Determinants
If 2a=b,2 a=b, the pair of equations ax+a x+ by=2a2−3b2,x+2y=2a−6bb y=2 a^{2}-3 b^{2}, x+2 y=2 a-6 b possess
Q2MathsUnit 3: Matrices and Determinants
The addition of two numbers is −72.-72 . If one number is thrice the another number. Find the greater number
Q3MathsUnit 3: Matrices and Determinants
Solve the following equations by substitution method. x=2y−1;y=2x−7\boldsymbol{x}=\mathbf{2} \boldsymbol{y}-\mathbf{1} ; \boldsymbol{y}=\mathbf{2} \boldsymbol{x}-\mathbf{7}
Q4MathsUnit 3: Matrices and Determinants
Dashrath and Naresh are friends ,Naresh is 2 years younger than Dashrath.If the sum of their age is 56 years, find their present age.
Q5MathsUnit 3: Matrices and Determinants
The ratio of income of two persons is 9: 7 and the ratio of their expenditure is 4:3.4: 3 . If each of them manages to save Rs. 2000 per month, find their monthly income.
Q6MathsUnit 3: Matrices and Determinants
Solve the following pair of linear (simultaneous) equations by the method of elimination: 8x+5y=98 x+5 y=9 3x+2y=4\mathbf{3} \boldsymbol{x}+\mathbf{2} \boldsymbol{y}=\mathbf{4}
Q7MathsUnit 3: Matrices and Determinants
Solve the following pair of equations: ax−by=0\frac{a}{x}-\frac{b}{y}=0 ab2x+a2by=a2+b2\frac{a b^{2}}{x}+\frac{a^{2} b}{y}=a^{2}+b^{2}
Q8MathsUnit 3: Matrices and Determinants
A two-digit number is 3 more than six times the sum of its digits. If 18 is added to the number obtained by interchanged by interchanging the digits, we get the original number. Find the number

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How should I revise Test of consistency and solution of simultaneous linear equations in two or three variables using matrices before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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