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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 pair of equations will intersect at the origin \(\left(0,0\right)\) on the graph?Which value table is correct for the line (3x-y=5)?If the points \((2,4)\) and \((5,1)\) are given in the value table of a line, which equation represents the line correctly?A student writes only (1) solution for (2x+4y=16) and (x+2y=8). What is the mistake?On a graph, the distance between (x+2y=4) and (2x+4y=14) remains the same. What is the correct reason?Which line will be parallel and distinct to (x+3y=11)?At which point will two paths represented by \(2x+y=12\) and \(x+y=8\) meet?In a park, two paths are represented by \(3x+y=21\) and \(x+y=11\). Where will they meet?In a shop, two offers are modeled by \(x+2y=18\) and \(x+y=11\). What is their common point on the graph?On a map, two lines are \(2x+3y=23\) and \(x+3y=17\). What is their intersection point?In which situation should more care be taken while reading a solution approximately in graphical method?If a student writes the intersection point \(\left(7,2\right)\) as \(\left(2,7\right)\), what is the main mistake?At which point do the lines \(3x+2y=22\) and \(x+2y=10\) meet on the graph?Which point is the \(y\)-intercept of the line \(7x-2y=14\)?What is the correct conclusion for the lines (2x+6y=18) and (x+3y=12)?If the intersection point on the graph is \(\left(\frac{7}{2},\frac{5}{2}\right)\), what is its decimal form?At which point will the lines \(x=-3\) and \(2x+y=4\) meet?In a field, two paths are represented by \(x+2y=13\) and \(x+y=8\). At which point will the two paths meet?At which point do the lines \(4x+y=25\) and \(x+y=10\) meet on the graph?At which point do the lines \(2x+3y=17\) and \(4x-y=11\) meet on the graph?