Question

The equation of y-axis is

(a).x = 0

(b).y = 0

(c).x = k

(d).None of these

Answer 1

Hint: The basic way to represent any line in a graph is by using an appropriate equation corresponding to that line. Each line in a graph has its own unique equation. By using this fact, we can easily evaluate the required equation of y-axis.

Complete step-by-step answer:

In mathematics, the number system is the branch that deals with various types of numbers possible to form and easy to operate with different operators such as addition, multiplication and so on. Another system for variables in mathematics is an algebra system in which we have equations corresponding to some variables through which we can evaluate values of those variables. These equations can be of the form of linear polynomial, quadratic polynomial or any higher order polynomial. In a graph, a linear polynomial can be represented as a line. Each line in a graph has its own unique equation, so to find all the possible solutions of that linear polynomial we must form a graphical solution which will provide all the possible solutions at a glance.

For our problem, we are given y-axis. As we know that on the y-axis the value of x is zero.

Hence, for all x equals to zero will be the required line representing y-axis.

Therefore, x = 0 is the required solution.

Hence, option (a) is correct.


Note: The key step for solving this problem is the knowledge of representation of linear polynomials on a graph. A linear polynomial is represented as a line and hence the equation of y-axis will also be represented as a line. By using this fact, we can easily evaluate the equation corresponding to the y-axis.