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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

What is the graphical solution of (x=-4) and (2x+3y=7)?If (y=-2) and (4x+3y=10) are graphed, what will be the intersection point?If two lines meet at (P(p,q)) and (p+q=13), (p-q=5), what is (P)?What do the lines (8x-5y=24) and (16x-10y=48) represent on a graph?How is an inconsistent pair identified in the graphical method?If (\frac{a_1}{a_2}\neq\frac{b_1}{b_2}), what will be the position of the lines on a graph?What is the correct intersection of \(6x-y=17\) and \(x+2y=9\)?A student chose ((8,0)), ((0,10)), and ((4,5)) for (5x+4y=40). Which statement is correct?If two lines have slopes (m_1=\frac{5}{2}) and (m_2=\frac{5}{2}), but different (y)-intercepts, what is the graphical conclusion?Which conclusion is correct for (5x-2y=9) and (10x-4y=23)?What is the solution of (3x-y=10) and (2x+y=15) on the graph?If (4x+3y=p) and (8x+6y=42) give infinitely many solutions, what is (p)?For which value will (6x+y=17) and (12x+2y=k) have no solution?At which point do the lines \(2x+y=16\) and \(x-2y=-8\) intersect on the graph?Two lines meet at (A(2,-5)) on a graph. Which pair verifies this?What will be the graph of (5x+10y=25) and (x+2y=6)?If (ax+9y=27) and (4x+3y=9) are coincident lines, what is the value of (a)?Which point does not lie on the line \(3x+8y=24\)?If the lines (3x+5y=25) and (6x+my=50) are coincident, what is (m)?What is the (y)-coordinate of the intersection of (7x+2y=31) and (3x-y=10)?