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Which of the following pairs of equations represents coincident lines on a graph?
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Answer and explanation
Correct answer: \(2x-3y=6\); \(4x-6y=12\)
In option A, every term of the second equation is twice the corresponding term of the first. Thus \(a_1/a_2=b_1/b_2=c_1/c_2\), so the lines coincide and have infinitely many solutions. Exam tip: compare all three ratios.
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What is the correct answer to this question?
\(2x-3y=6\); \(4x-6y=12\)
Why is this the correct answer?
In option A, every term of the second equation is twice the corresponding term of the first. Thus \(a_1/a_2=b_1/b_2=c_1/c_2\), so the lines coincide and have infinitely many solutions. Exam tip: compare all three ratios.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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