Pair of Linear Equations in Two Variables — Important Questions
CBSE · Class 10 · Mathematics
128 important questions from Pair of Linear Equations in Two Variables for CBSE Class 10 Mathematics, with answers. Written for the board exams 2027.
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Important Questions from Pair of Linear Equations in Two Variables
What method helps solve linear equations when coordinate points are non-integral?
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Algebraic method
Algebraic methods like substitution and elimination are more precise for solving equations with complex coordinates.
Which method involves replacing one variable with its equivalent expression?
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Substitution method
In the substitution method, one variable is expressed in terms of another and then substituted into the second equation.
What does the term 'consistent pair of linear equations' mean?
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Has a solution
A consistent pair of linear equations means the system has at least one solution, either unique or infinite.
Which ratio condition indicates parallel lines?
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a1/a2 = b1/b2 ≠ c1/c2
For a pair of linear equations, parallel lines satisfy the condition a1/a2 = b1/b2 ≠ c1/c2. This means the coefficients of x and y are proportional, but the constant terms are not in the same ratio. Such lines do not meet, so the pair has no solution.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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