Observe the figure and choose correct option.

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equation of lines AB & EF form inconsistent pair of equations

equation of lines CD & EF form inconsistent pair of equations

equation of lines AB & EF form consistent pair of equations

equation of lines AB & CD form inconsistent pair of equations

answer is A.

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Detailed Solution

If the lines intersect in a single point. In this case, the pair of equations has a unique solution they are known as consistent pair of equations.

Therefore, equation of lines CD & EF form consistent pair of equations.

If the lines are parallel. In this case, the pair of equations have no solution and are known as inconsistent pair of equations.

Therefore, equation of lines AB & EF form inconsistent pair of equations.

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