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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 point is the \(y\)-intercept of the line \(4x-3y=24\)?Which point is the \(x\)-intercept of the line \(5x+2y=20\)?Which point on the line \(2x-7y=14\) is obtained by putting \(x=0\)?Which point on the line \(6x+y=18\) is obtained when \(y=0\)?How will the lines \(3x+6y=24\) and \(x+2y=8\) appear on the graph?What is the correct conclusion for (2x+4y=10) and (x+2y=9)?How will the graphs of (5x-10y=20) and (x-2y=4) be?What type of lines are (x-4y=3) and (2x-8y=14)?If (\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}), how will the lines be on the graph?If (\frac{a_1}{a_2}\ne\frac{b_1}{b_2}), what will be the conclusion in graphical method?If (\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne\frac{c_1}{c_2}), what will be the position of the lines?If (a_1=6,\ b_1=9,\ c_1=12) and (a_2=2,\ b_2=3,\ c_2=4), how will the lines be?If (a_1=3,\ b_1=6,\ c_1=7) and (a_2=1,\ b_2=2,\ c_2=5), what is the correct conclusion?At which point will the lines \(x=5\) and \(2x+y=17\) meet?What is the intersection point of \(y=-3\) and \(4x-y=19\)?At which point do the lines \(x=0\) and \(3x+2y=12\) intersect?At which point do the lines \(y=0\) and \(5x+2y=25\) intersect?Which point lies on \(2x+3y=24\) but not on \(x+y=10\)?If the intersection point on the graph is \(\left(-4,3\right)\), what is the correct solution?If the intersection point is read as \(\left(4.5,1.5\right)\) on a graph, how will it be written in fractions?