In the graphical method, if the graphs of two linear equations coincide on the same straight line, what conclusion can be made about the solutions of the system?
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Answer and explanation
Correct answer: Infinitely many solutions
Every point on coincident lines satisfies both equations, so the system has infinitely many solutions. Check \(a_1/a_2=b_1/b_2=c_1/c_2\). Distinct parallel lines have no solution. Exam tip: identify the line relationship before selecting the answer.
Frequently asked questions
What is the correct answer to this question?
Infinitely many solutions
Why is this the correct answer?
Every point on coincident lines satisfies both equations, so the system has infinitely many solutions. Check \(a_1/a_2=b_1/b_2=c_1/c_2\). Distinct parallel lines have no solution. Exam tip: identify the line relationship before selecting the answer.
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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