UGC NET Questions (Paper – 1)

This option is correct because a linear equation in two variables, such as ax + by + c = 0, represents a straight line when graphed on the Cartesian plane. Every solution pair (x, y) lies on this line. Therefore, the geometric representation is a straight line.

Option A:
A single point would correspond to a specific solution pair rather than all possible solutions. Linear equations generally have infinitely many solutions forming a continuous set. Thus, a point is not the correct geometric representation.

Option B:
A straight line contains all ordered pairs that satisfy the given linear equation. This matches the definition of a linear relation in two dimensions. Hence, this option correctly describes the graph of a linear equation.

Option C:
A circle is described by equations like x² + y² = r², which are not linear because they include squared terms. Therefore, a circle is not the graph of a linear equation.

Option D:
A parabola corresponds to quadratic equations, such as y = ax² + bx + c. These involve squared terms and are not linear, so they are not the correct graph for a linear equation.