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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

For the lines (y=2) and (y=9), how many solutions will there be?If the intersection point of the graphs of two linear equations is (3, 10), what is the value of y?If the graphs of two linear equations intersect at the point \((12,1)\), what is the value of \(x\)?What will be the graphical solution type of (x+y=5) and (2x+2y=10)?What type of lines are (x-y=6) and (2x-2y=15)?Which point on the line x+4y=8 is obtained when x=4?Which point on the line \(4x+y=17\) is obtained when \(y=1\)?Using the graphical method, at which point do the lines \(x+2y=6\) and \(2x+y=6\) intersect?At which point do the lines \(x+3y=10\) and \(2x+3y=14\) intersect?Which statement is correct while choosing scale in graphical method?If a student reads the point \((5,3)\) as \((3,5)\), what mistake is the student making?The line (x+y=0) must pass through which point?Which of the following points lies on the line \(2x-3y=0\)?In which situation does graphical method give exactly one solution?In which situation does the graphical method give no solution for a pair of linear equations?In which situation does graphical method give infinitely many solutions?What is the point of intersection of the graphs of \(x+2y=12\) and \(x+y=8\)? This point represents the graphical solution of the equations.If the point of intersection of two lines is (4, 6), what is the solution obtained by the graphical method?For the line (x+y=13), which point is obtained when (x=5)?For the graph of the equation \(2x+y=14\), what is the value of \(y\) when \(x=3\)?