In the graphical method, if the graphs of two linear equations are coincident lines, what type of pair of equations is formed?
Answer and explanation
Correct answer: Consistent and dependent
Coincident lines lie exactly on top of each other, so every point on the common line is a solution of both equations. Hence, the pair has infinitely many solutions and is called consistent and dependent. Option C is incorrect because an independent pair has lines that intersect at exactly one point. Exam tip: coincident lines imply infinitely many solutions and a consistent dependent pair.
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What is the correct answer to this question?
Consistent and dependent
Why is this the correct answer?
Coincident lines lie exactly on top of each other, so every point on the common line is a solution of both equations. Hence, the pair has infinitely many solutions and is called consistent and dependent. Option C is incorrect because an independent pair has lines that intersect at exactly one point. Exam tip: coincident lines imply infinitely many solutions and a consistent dependent pair.
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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