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Subjects

Mathematics

Graphical method of finding solutions.

ग्राफीय विधि से हल ज्ञात करना

In this Class 10 Mathematics topic from the chapter Pair of Linear Equations in Two Variables, students learn to represent each linear equation as a straight line on the Cartesian plane and identify the solution through the point where the lines intersect. The topic explains how intersecting, parallel, and coincident lines correspond to a unique solution, no solution, or infinitely many solutions. Students also practise plotting points, reading coordinates, and checking solutions graphically.

Practice questions

At which point will the lines \(2x+3y=13\) and \(x+y=5\) intersect on the graph?What is the graphical solution of \(4x-y=11\) and \(x+y=7\)?Which is the correct intersection point for \(4x-y=11\) and \(x+y=7\)?What are the intercepts of the line 2x + 5y = 20?What is the y-intercept point of the line 3x - 2y = 12?What is the correct conclusion about the lines (x-y=2) and (2x-2y=8)?How will the lines (3x+6y=18) and (x+2y=6) appear on a graph?If for two linear equations \(\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne\frac{c_1}{c_2}\), how will the lines represented on the graph appear?If a₁/a₂ ≠ b₁/b₂, how many solutions will the pair have graphically?How many solutions are there for x + 3y = 9 and 2x + 6y = 18?Which statement is correct about the graphs of (2x+3y=7) and (4x+6y=20)?Using the graphical method, which is the solution, or point of intersection, of the lines 2x − y = 6 and x + y = 3?At which point do the lines \(x=4\) and \(2x+y=11\) intersect on the graph?Using the graphical method, what is the point of intersection of the lines \(y=2\) and \(3x+y=14\)?Why does the line (2x+3y=6) not pass through the origin?Which of the following points lies on the line \(5x-2y=0\)?Which point is correct for both the line (x+2y=6) and the line (2x+y=6)?If the intersection point is read as \( \left(2.5,1.5\right) \) on a graph, how will the solution be written in fractions?Which pair of equations will have lines meeting at the origin ( (0,0) ) on the graph?What type of lines are represented by the equations \(x+2y=7\) and \(3x+6y=21\)?