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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 the lines (3x+2y=7) and (6x+4y=k) are parallel and distinct, which option is correct for (k)?How many times will the lines (2x+3y=6) and (4x+6y=12) meet on the graph?Which pair will intersect on the (y)-axis?For a pair of lines intersecting on the x-axis, what is the form of their intersection point?What is the intersection point when the lines (3x+y=15) and (x-y=1) are graphed?If the line (2x+5y=20) is to be graphed, which point is chosen incorrectly?What is the graphical conclusion for the lines (x+4y=9) and (2x+8y=21)?If the lines (2x+3y=6) and (kx+6y=12) are coincident, what is (k)?What is the solution of (x=2) and (2x+3y=13) on the graph?What is the point of intersection of the lines y = -1 and 3x - 2y = 11 on the graph?In a case, the total price of two tickets is (₹100), and the costlier ticket is (₹20) more than the cheaper one. If (x) and (y) are ticket prices, what is the graphical solution?The sum of two numbers is (18), and their difference is (4). What is the solution by graphical method?How will the lines (2x+y=7) and (6x+3y=20) appear on a graph?If (x+2y=10) and (3x+6y=30) are graphed, what will the solution region be like?Which graphical conclusion is correct for (2x-3y=6) and (4x-6y=13)?If two lines meet at (P(2,-3)) on a graph, which statement must be true?What situation will the lines (3x+5y=15) and (6x+10y=32) give on a graph?If the lines (kx+4y=12) and (6x+8y=24) are coincident, what is the value of (k)?At which point will the lines (4x-3y=11) and (2x+y=13) meet on the graph?For which value will (2x+ay=10) and (6x+9y=31) be distinct parallel lines?