Goodmarks

Mathematics · JEE

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

13+ syllabus-aligned questions available

Quick answer

Goodmarks offers 13+ JEE-style PYQs for Test of consistency and solution of simultaneous linear equations in two or three variables using matrices with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Test of consistency and solution of simultaneous linear equations in two or three variables using matrices is tested in JEE. Practise 13+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

Syllabus context

Part of Matrices and Determinants in JEE Main Mathematics.

Free sample questions

Attempt 8 free MCQs for Test of consistency and solution of simultaneous linear equations in two or three variables using matrices. Unlock 5+ more with Pro.

Unlock full bank
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
The number of values of k for which the system of linear equations, (2k+(2 k+ 1) x+5ky=k+2x+5 k y=k+2 and kx+(k+k x+(k+ 2) y=2y=2 has no solution, is:

Want unlimited Test of consistency and solution of simultaneous linear equations in two or three variables using matrices practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started freeView Pro plans

Popular questions in Test of consistency and solution of simultaneous linear equations in two or three variables using matrices

Frequently asked questions

Why practise PYQs for Test of consistency and solution of simultaneous linear equations in two or three variables using matrices?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Test of consistency and solution of simultaneous linear equations in two or three variables using matrices, covering the same topics as previous year papers.

How should I use PYQs for Matrices and Determinants?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.

Related topics