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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

What is the x-intercept of x + y = 9?How will the lines (x+y=5) and (x+y=8) appear on the graph?How will the lines 2x + 2y = 10 and x + y = 5 appear?How will the lines (x+y=4) and (x+2y=6) appear?In the graphical method, if two lines have no common point, what is the pair of equations called?In the graphical method, if two lines intersect at exactly one point, what type of pair of linear equations is it?In the graphical method, if the graphs of two linear equations are coincident lines, what type of pair of equations is formed?Which ordered pair is the solution of the equations \(x+y=10\) and \(x-y=4\)?What is the intersection point of the graphs of \\(2x+y=7\\) and \\(x+y=5\\)?Which is the solution of (x+3y=9) and (x+y=5)?What is the point of intersection of the (x)-axis and (y)-axis called?What are the intercepts of the line \(x+y=6\) on the x-axis and y-axis, respectively?Which of the following pairs of points can be used to draw the line represented by the equation \(2x+y=4\)?Which of the following points lies on the line represented by the equation \(x-2y=0\)?If two lines intersect at the point \((1, 2)\), what is the \(x\)-coordinate of the point?If two lines intersect at the point (5, 2), what is the y-coordinate of their point of intersection?Which line is represented by the equation \(x=0\)?Which line is represented by the equation \(y=0\)?How will the lines (x=2) and (x=5) appear on the graph?How will the lines \(y=1\) and \(y=4\) appear on a graph?