write conditions for a pair of linear equation in two variables for types of graph
Answers
Step-by-step explanation:
An equation in the form of ax+by+c, where a,b and c are real numbers and a,b are not equal to zero, is called a linear equation in two variables. Whereas in pair of linear equation in two variables, we deal with two such equations. The solution of such equations is a point on the line representing the equation. This topic is widely explained in Class 10 Maths Chapter 3.
An equation is an expression with equality sign on both sides. A polynomial involves a mathematical expression with powers of the variables as non-negative integers. For example, x4 + 3x3 + 2x9 is a polynomial but x3/5+ 3x0.6 is not a polynomial. While defining polynomials we should know about the concept of ‘degree’. A degree can be defined as the highest power of the variable in the given polynomial. A polynomial with degree 1 is called a linear polynomial. A polynomial with degree 2 is called a quadratic polynomial and a polynomial with degree 3 is called a cubic polynomial.
In this article, where we are learning about linear equations, the polynomial here is of degree 1.
Answer:
If the pair of linear equations are given in the form of ( for example )a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0, then three conditions arises here: If the pair of linear equation is dependent and consistent, then: a1/a2 = b1/b2 = c1/c.
Step-by-step explanation: