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Class 10MathematicsPair of Linear Equations in Two VariablesGraphical method of finding solutions.Medium
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What is the correct conclusion for the lines (2x+6y=18) and (x+3y=12)?

Answer and explanation

Correct answer: Parallel and distinct lines

Dividing the first equation by (2) gives (x+3y=9), while the second is (x+3y=12). Hence the lines are parallel and have no solution.

Related tags

Parallel LinesNo SolutionInconsistentGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematicsClass 10 Mcq
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10 more MCQs
  1. 1In graphical method, what does the point of intersection of two lines represent?
  2. 2If two lines meet at exactly one point on the graph, how many solutions are there?
  3. 3If two lines are parallel and never meet, what is the solution of the pair of equations?
  4. 4If two lines coincide on the graph, how many solutions will the pair have?
  5. 5Which point lies on the line (x+y=5)?
  6. 6Which point is correct for the equation (x-y=1)?
  7. 7In the equation of the line 2x + y = 6, what is the value of y when x = 0?
  8. 8For the line \(x+2y=8\), what is the value of \(x\) when \(y=0\)?
  9. 9What is the graphical solution of (x+y=4) and (x-y=2)?
  10. 10At which point do the lines represented by the equations \(x+y=6\) and \(x-y=0\) intersect?
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