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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

In graphical method, what does the point of intersection of two lines represent?If two lines meet at exactly one point on the graph, how many solutions are there?If two lines are parallel and never meet, what is the solution of the pair of equations?If two lines coincide on the graph, how many solutions will the pair have?Which point lies on the line (x+y=5)?Which point is correct for the equation (x-y=1)?In the equation of the line 2x + y = 6, what is the value of y when x = 0?For the line \(x+2y=8\), what is the value of \(x\) when \(y=0\)?What is the graphical solution of (x+y=4) and (x-y=2)?At which point do the lines represented by the equations \(x+y=6\) and \(x-y=0\) intersect?If the point of intersection of two lines is (2, 4), what is the solution of the pair of equations?Which point is correct for the equation (y=2x)?Which point lies on the equation (y=x+1)?What type of line does the equation \(x=3\) represent on a graph?What type of line represents the equation \(y=2\) on a graph?If the line (x=4) and the line (y=5) meet, what is the intersection point?For the equation \(x+y=7\), what is the value of \(y\) when \(x=2\)?For plotting the graph, in the equation 3x + y = 9, what is the value of y when x = 2?To draw the graph of each line, at least how many points are needed?What is the y-intercept of x + y = 3?