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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

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?If the intersection of two lines is \(\left(\frac{7}{2},-\frac{1}{2}\right)\), which pair can be correct?Which intercept pair is correct for drawing the line (5x-2y=20)?Which of the following pairs of equations represents coincident lines on a graph?What is the graphical solution of (x=-2) and (3x+4y=14)?If (y=3) and (2x-5y=1) are graphed, what will be the intersection point?If two lines meet at (P(a,b)) and (a+b=9), (a-b=1), what is (P)?What do the lines (7x+2y=18) and (14x+4y=36) represent on a graph?In which condition will the graphical method give no solution?If (\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq\frac{c_1}{c_2}), what will be the position of the lines on a graph?What is the (x)-coordinate of the intersection of (2x+3y=17) and (5x-2y=4)?What is the correct intersection of \(2x+3y=17\) and \(5x-2y=4\)?A student chose ((6,0)), ((0,8)), and ((3,4)) for the line (4x+3y=24). Which statement is correct?