Mathematics · JEE

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

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Master Test of consistency and solution of simultaneous linear equations in two or three variables using matrices through exam-style multiple-choice questions. This page features 13+ JEE MCQs covering Test of consistency and solution of simultaneous linear equations in two or three variables using matrices, each with verified answers and clear explanations.

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Part of Matrices and Determinants in JEE Main Mathematics.

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Q1MathsUnit 3: Matrices and Determinants

2 a=b,

the pair of equations

a x+

b 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 .

If one number is thrice the another number. Find the greater number

Q3MathsUnit 3: Matrices and Determinants

Solve the following equations by substitution method.

\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 .

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:

8 x+5 y=9

\mathbf{3} \boldsymbol{x}+\mathbf{2} \boldsymbol{y}=\mathbf{4}

Q7MathsUnit 3: Matrices and Determinants

Solve the following pair of equations:

\frac{a}{x}-\frac{b}{y}=0

\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,

(2 k+

x+5 k y=k+2

and

k x+(k+

y=2

has no solution, is:

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JEE Main tests Test of consistency and solution of simultaneous linear equations in two or three variables using matrices through conceptual and numerical MCQs. Goodmarks mirrors this format with four-option questions and detailed solutions.

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