Assertion (A): There are infinite number of lines which pass through (2, 14)Reason(R): A linear equation in two variables has infinitely many solutions

Assertion (A) is true. There are indeed an infinite number of lines that can pass through a single point in a two-dimensional space, such as (2, 14). This is because a line is defined by any two distinct points, and there are an infinite number of points in the plane that are distinct from (2, 14).

Reason (R) is also true. A linear equation in two variables does have infinitely many solutions. This is because for any given value of one variable, there is a corresponding value of the other variable that will satisfy the equation. Since there are an infinite number of possible values for each variable, there are an infinite number of solutions.

However, Reason (R) is not the correct explanation for Assertion (A). While it's true that a linear equation in two variables has infinitely many solutions, this is not the reason why there are an infinite number of lines through a given point. The reason there are an infinite number of lines through a given point is because a line in two-dimensional space is defined by any two distinct points, and there are an infinite number of points that are distinct from the given point.