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For the line (x + 3y = 12), which points are obtained at (x = 3) and (x = 6)?

Answer and explanation

Correct answer: (3, 3) और (6, 2)

To create points for plotting the line x + 3y = 12, substitute each given x-value and solve for y. When x = 3, we get 3 + 3y = 12, so 3y = 9 and y = 3; this gives the point (3, 3). When x = 6, we get 6 + 3y = 12, so 3y = 6 and y = 2; this gives (6, 2). Therefore option A is correct. Each ordered pair must use the selected x-value as its first coordinate and the calculated y-value as its second coordinate. The other options either use an incorrect y-value or fail the equation when substituted. For example, (3, 6) gives 21 rather than 12, so it cannot lie on the line.

Related tags

Value-TableGraph-PlottingLinear-EquationGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematicsClass 10 Mcq

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