01If the lines (7x+3y=42) and (21x+9y=k) are coincident, what will be the value of (k)?यदि (7x+3y=42) और (21x+9y=k) की रेखाएं संपाती हों, तो (k) का मान क्या होगा?
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Mathematics
Graphical method of finding solutions.
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.
Expert · Level 6 · 2 questions
Practice questions
02For the two variables \(x\) and \(y\), the equations \(5x+5y=140\) and \(6x-6y=24\) are given. In the graphical method, what is the point of intersection of these two lines, i.e. the solution?दो चरों \(x\) और \(y\) के लिए समीकरण \(5x+5y=140\) तथा \(6x-6y=24\) दिए गए हैं। ग्राफीय विधि में इन दोनों रेखाओं का प्रतिच्छेद-बिंदु, अर्थात् समाधान, क्या होगा?
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