Pair of Linear Equations in Two Variables — Practice Quiz
Madhya Pradesh Board · Class 10 · Mathematics
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Quick Quiz: Pair of Linear Equations in Two Variables
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What represents a pair of linear equations where the lines intersect at a single point?
When a pair of linear equations have no solution, what are the lines called?
What condition indicates that two lines are coincident?
In the general form a1x + b1y + c1 = 0, what does a1 represent?
Sample Questions
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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