Which of the following pairs of equations will have coincident lines as their graphs?
Answer and explanation
Correct answer: \(2x+3y=6\) और \(4x+6y=12\)
In option A, the second equation is exactly twice the first: multiplying \(2x+3y=6\) by 2 gives \(4x+6y=12\). Thus, both represent the same line and have infinitely many solutions. In B, the constant ratio differs, so the lines are parallel. Exam tip: compare all three ratios.
Frequently asked questions
What is the correct answer to this question?
\(2x+3y=6\) और \(4x+6y=12\)
Why is this the correct answer?
In option A, the second equation is exactly twice the first: multiplying \(2x+3y=6\) by 2 gives \(4x+6y=12\). Thus, both represent the same line and have infinitely many solutions. In B, the constant ratio differs, so the lines are parallel. 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: Conditions for solvability.
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