CBSE Class 10 Maths Ch 3: Ratio of Coefficients & Graphical Solutions | Finding area #class10maths

Welcome back to our Class 10 Maths journey through Chapter 3 - Pair of Linear Equations in Two Variables! In this second lecture, we delve deeper into the connection between the ratio of coefficients of a pair of linear equations and the nature of their graphical representation (intersecting lines, parallel lines, or coincident lines).

We'll explore how analyzing the ratios of a1/a2 , b1/b2 and c1/c2
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can help you predict the type of solution a pair of linear equations will have before even drawing the graphs!

Next, we'll focus on finding the graphical solution of a pair of linear equations by plotting the lines on the Cartesian plane and identifying their point of intersection (if it exists). We'll work through examples to illustrate this process clearly.

A key application of graphical representation we'll cover is finding the area of a triangle bounded by the lines and the axes. You'll learn how to identify the vertices of this triangle from the graph and then use the appropriate formula to calculate its area.

Throughout the lecture, we'll emphasize the formation of the graph step-by-step, ensuring you understand how to plot the lines accurately. We'll also include various illustrations and examples to solidify your understanding of these important concepts.

Topics Covered:

Ratio of Coefficients and their relation to the nature of lines
Predicting the type of graphical solution using coefficient ratios
Finding the Graphical Solution of a pair of linear equations
Determining the vertices of a triangle formed by lines and axes
Calculating the Area of the triangle bounded by lines and axes
Step-by-step formation of graphs
Illustrative Examples
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