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Which pair will definitely give parallel lines on a graph?

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Answer and explanation

Correct answer: (x+2y=5), (2x+4y=9)

In the option, (\frac{1}{2}=\frac{2}{4}\neq\frac{5}{9}), so the lines are parallel. Equal coefficient ratio and different constant ratio mean no solution.

Related tags

Linear EquationsGraphical MethodParallel LinesOption Selection

Frequently asked questions

What is the correct answer to this question?

(x+2y=5), (2x+4y=9)

Why is this the correct answer?

In the option, (\frac{1}{2}=\frac{2}{4}\neq\frac{5}{9}), so the lines are parallel. Equal coefficient ratio and different constant ratio mean no solution.

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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