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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 point lies on \(3x+4y=26\) but not on \(x+y=7\)?If the intersection point on the graph is \(\left(-\frac{5}{2},3\right)\), what is the correct solution?Which statement is correct for the graphs of (5x-3y=10) and (10x-6y=25)?In the graphical method, if the graphs of two linear equations coincide on the same straight line, what conclusion can be made about the solutions of the system?At which point does the line \(6x-7y=42\) intersect the line \(x=0\)?If (a_1=7,\ b_1=14,\ c_1=21) and (a_2=1,\ b_2=2,\ c_2=3), how will the lines be?If (a_1=3,\ b_1=-6,\ c_1=11) and (a_2=1,\ b_2=-2,\ c_2=4), what is the correct conclusion?For the line \(x-4y=16\), what intercepts are obtained at \(x=0\) and \(y=0\)?If the intersection point is read as \(\left(3.75,-2.5\right)\) on a graph, what is its fraction form?What is the intersection point of \(3x+y=17\) and \(x+3y=19\)?At which point do the lines \(6x-y=19\) and \(x+3y=22\) intersect on the graph?Which value table is correct for the line (5x+y=21)?If the points \((-2,9)\) and \((3,-1)\) are given in the value table of a line, which is the correct equation of that line?What is the correct statement about (2x+3y=9) and (4x+6y=30) on the graph?At which point do the lines \(3x+4y=31\) and \(3x-y=11\) intersect on the graph?If the graphs of the equations \(3x+ay=22\) and \(x+y=7\) intersect at \(\left(4,3\right)\), what is the value of \(a\)?Which equation will give a coincident line with (2x+5y=13)?Which line will be parallel and distinct to (3x-2y=7)?On a graph, two paths are shown by \(4x+2y=26\) and \(x+2y=11\). Where will they meet?In a park, two paths are represented by \(3x+5y=39\) and \(x+5y=25\). What is their intersection point?