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

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Short tricks for Test of consistency and solution of simultaneous linear equations in two or three variables using matrices work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

Use these Test of consistency and solution of simultaneous linear equations in two or three variables using matrices shortcuts to save time in JEE Mathematics papers — then validate speed with 12+ MCQs on Goodmarks.

Short tricks for speed

  • Test of consistency and solution of simultaneous linear equations in two or three variables using matrices focus drill

    Solve 15 mixed MCQs for Test of consistency and solution of simultaneous linear equations in two or three variables using matrices, review every explanation, and note formulas you hesitated on.

  • Calculus substitution scan

    Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.

  • Graph sketch shortcut

    For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

Syllabus context

Part of Matrices and Determinants in JEE Main Mathematics.

Free sample questions

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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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