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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 (5x+4y=p) and (15x+12y=96) give infinitely many solutions, what is (p)?For which value will (8x+3y=27) and (16x+6y=k) have no solution?At which point do (3x+2y=25) and (x-3y=-11) meet on the graph?Two lines meet at (A(-1,6)) on a graph. Which pair verifies this?What will be the graph of (9x+12y=45) and (3x+4y=20)?If (ax+12y=48) and (5x+3y=12) are coincident lines, what is the value of (a)?Which point does not lie on the line \(5x+11y=55\)?If the lines (4x+7y=28) and (12x+my=84) are coincident, what is (m)?What is the (y)-coordinate of the intersection of (8x+y=43) and (2x-3y=-5)?In a class, the total number of students in two groups is (74), and the first group has (16) more students than the second. What will be the graphical solution?For two variables x and y, the linear equations 3x + 3y = 99 and 4x − 4y = 28 are given. What is the solution of these equations by the graphical method?If (3x+ky=21) and (12x+20y=84) give infinitely many solutions, what is the value of (k)?What is the solution of (6x+y=38) and (3x-2y=-1) on the graph?If the graph of a pair of linear equations in two variables consists of two distinct parallel lines, how is its solution described?Which point lies on both lines \(2x+5y=29\) and \(3x-y=7\)?Which point lies on both lines \(2x+5y=31\) and \(3x-y=7\)?What type of lines are (15x+20y=60) and (3x+4y=12)?Two lines intersect at ((-4,1)) on a graph. Which pair of equations is correct?If (7x+8y=56) and (14x+16y=112), which statement about the solution set is correct?The equation of a line is \(10x+5y=25\). When it is written in the form \(y=mx+c\), what is its slope \(m\)?