Pair of Linear Equations in Two Variables
Haryana Board · Class 10 · Mathematics
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What represents a pair of linear equations where the lines intersect at a single point?
In the equation y = ½x, what does the coefficient ½ represent?
When a pair of linear equations have no solution, what are the lines called?
What condition indicates that two lines are coincident?
Sample Questions
In the general form a1x + b1y + c1 = 0, what does a1 represent?
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X-coefficient
In the standard form of a linear equation, a1 is the coefficient of x.
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.
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