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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

The line (2x+2y=0) must pass through which point?Which point lies on the line 3x - 4y = 0?When does graphical method give exactly one solution?When does a pair of linear equations in two variables have no solution by the graphical method?When does graphical method give infinitely many solutions?What is the graphical solution, that is, the point of intersection of the lines \(x+3y=15\) and \(x+y=7\)?If the lines \(2x+y=16\) and \(x+y=10\) are drawn on a graph, what will be their point of intersection?At which point do the lines (2x+3y=12) and (x+y=5) meet on the graph?What is the graphical solution of the two lines represented by 3x − y = 7 and x + y = 5?When the graphs of a pair of linear equations are two distinct parallel lines, how many solutions does the pair have?If the two lines are 4x + 2y = 10 and 2x + y = 5, what will be their position on the graph?What is the correct conclusion for the lines (2x+5y=15) and (4x+10y=35)?What is the point of intersection of (x-2y=4) and (2x-y=5)?What are the x-intercept and y-intercept of the line 3x + 2y = 12, respectively?Which point is obtained on the line \(4x-3y=12\) when \(x=0\)?If two lines meet at (5,1), which pair of equations can represent this solution?What is the graphical solution of (2x+3y=18) and (x-y=1)?What is the correct intersection point of (2x+3y=18) and (x-y=1)?At which point do the lines x+2y=10 and 2x−y=5 meet on the graph?What is the intersection point of (3x+y=17) and (x-y=3)?