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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

Which is the graphical solution of (2x+y=11) and (x+y=8)?What is the intersection point of (x+y=3) and (2x-y=-6)?Where will (x-2y=9) and (2x+y=8) meet on the graph?What are the \(x\)-intercept and \(y\)-intercept, respectively, of the line \(3x+4y=24\)?What is the (y)-intercept of the line (5x-3y=15)?How will the lines (2x+4y=16) and (x+2y=8) appear on a graph?What is the correct conclusion for the lines (x-3y=5) and (2x-6y=14)?If (\frac{a_1}{a_2}\ne\frac{b_1}{b_2}), how will two lines appear on the graph?If (\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne\frac{c_1}{c_2}), what type of pair will the equations form?If (\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}), what happens graphically?What is the intersection point of (2x-y=1) and (x+y=8)?At which point do the lines \(x=6\) and \(x+y=10\) intersect?What is the graphical solution, that is, the point of intersection, of the lines \(y=-1\) and \(2x-y=9\)?Why does the line (2x+3y=18) not pass through the origin?Which point lies on the line 4x − 5y = 0?Which point lies on (3x+2y=16) but not on (x+y=7)?If the intersection point is read as \( \left(3.5,2.5\right) \) on a graph, how will it be written in fractions?When does a pair of linear equations have no solution by the graphical method?How many solutions are there for (2x+5y=20) and (4x+10y=40)?For the line (x+3y=12), which points are obtained at (x=3) and (x=6)?