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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 value table is correct for the line (3x-y=4)?How will the lines (x+2y=5) and (2x+4y=16) appear on the graph?If (a_1=3,\ b_1=2,\ c_1=8) and (a_2=6,\ b_2=4,\ c_2=16), how will the lines be?If (a_1=2,\ b_1=5,\ c_1=9) and (a_2=4,\ b_2=10,\ c_2=25), what is the correct conclusion?A student writes only (1) solution for (3x+2y=12) and (6x+4y=24). What is the mistake?On a map, two roads are represented by (x+y=12) and (x-y=4). At which point will they meet?Where do the lines (2x+3y=21) and (x+3y=15) meet?What is the intersection of (x+4y=18) and (2x+4y=20)?If two lines meet at \( \left(-3,2\right) \), which is the correct solution?Which pair of equations will give a unique solution?What is the intersection of the lines 2x - y = 5 and x + 2y = 0?If the points \\(1,5\\) and \\(3,1\\) are included in the value table of a line, which of the following equations represents that line?At which point does the line 2x + 3y = 12 intersect the line x = 0?At which point do the lines 4x + y = 20 and y = 0 intersect on the graph?If two lines overlap completely on a graph, which statement is correct?In a park, two paths are represented by (2x+y=14) and (x+y=9). At which point will the two paths meet?At which point do the lines \(2x+3y=18\) and \(x-3y=-6\) intersect on the graph?Which line will be parallel and distinct to (x+2y=7)?At which point do the lines (3x+2y=19) and (x+2y=9) meet on the graph?What is the \(y\)-intercept of the line \(7x+2y=28\)?