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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

If two lines meet at exactly one point on a graph, what is the pair of equations called?What will be the graph of the lines (5x+2y=10) and (10x+4y=25)?Which point gives the graphical solution of (2x+y=9) and (x+y=5)?In which condition does the graph of two lines show infinitely many solutions?A student chose ((4,0)) and ((0,3)) to graph (3x+4y=12). How is this choice?What do the lines (x+2y=8) and (3x+6y=24) represent on a graph?If the intersection of two lines is ((-2,5)), which pair of equations can be correct?When the graph of (7x-3y=14) and (14x-6y=28) is drawn, what will the solution set be like?Which point is the (y)-intercept point of (2x-5y=10) on the graph?At which point do the lines (4x+y=11) and (x-y=1) meet on the graph?What is the correct intersection of \(4x+y=11\) and \(x-y=1\)?If the lines (2x+ky=8) and (4x+6y=12) are parallel but not coincident, what is the value of (k)?If (px+3y=9) and (4x+6y=18) are coincident lines, what is the value of (p)?What is the (x)-coordinate of the intersection of (3x+y=10) and (2x-y=5) on the graph?Which statement is correct for the lines (x+3y=6) and (2x+6y=15)?If the graphs of two lines meet at the single point ((0,0)), which pair can represent this?Which point lies on the line (2x+3y=12) and is useful for drawing its graph?What will be obtained by graphing (2x+3y=13) and (4x+6y=26)?If the graphs of (a_1x+b_1y+c_1=0) and (a_2x+b_2y+c_2=0) are intersecting, which condition is correct?What is the slope of the graph of (x-2y=4)?