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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 have lines meeting at the origin ( (0,0) ) on the graph?What type of lines are represented by the equations \(x+2y=7\) and \(3x+6y=21\)?Which point lies on the line (2x+3y=19) but not on the line (x+y=8)?What will be obtained if the line (2x+y=8) is drawn twice separately?If the lines (x+y=9) and (x-y=1) meet, what is the intersection point?What is the correct ordered pair of the \\(x\\)-intercept and \\(y\\)-intercept of the line \\(3x+4y=24\\)?Where do the lines (x+4y=14) and (2x+4y=16) meet?What is the point of intersection of the lines 2x − y = 4 and x + 2y = 7 on a graph?If two lines meet at \( \left(-2,5\right) \) on the graph, what is the correct solution?Which pair of equations will give a unique solution on the graph?Which pair of equations is inconsistent?Which pair of equations is consistent and dependent?For the line (x+2y=8), which two points are obtained at (x=2) and (x=6)?Which value table is correct for the line (2x-y=3)?On a graph, the distance between the lines (x+2y=4) and (2x+4y=12) remains the same. What is the correct reason?If (a_1=2,\ b_1=3,\ c_1=6) and (a_2=4,\ b_2=6,\ c_2=12), how will the lines appear on the graph?If (a_1=1,\ b_1=2,\ c_1=5) and (a_2=2,\ b_2=4,\ c_2=7), what is the correct conclusion?A student writes only one intersection point for the graphs of (2x+3y=12) and (4x+6y=24). What is the mistake?In a city, two roads are represented by the lines (x+y=10) and (x-y=2). At which point will the two roads meet?At which point do the lines (x+2y=8) and (3x-y=10) meet on the graph?