Question

The lines represented by linear equations x = a and y = b (a ≠ b) are ______.

Options

• Intersecting at (a, b)

• Intersecting at (b, a)

• Parallel

• Coincident

Answer 1

The lines represented by linear equations x = a and y = b (a ≠ b) are intersecting at (a, b).

Explanation:

Given equations are x = a and y = b (a ≠ b).

The graph of x = a is a line parallel to the Y axis, and y = b is a line parallel to the X axis. 

∴ The angle between them is 90°, i.e., they intersect each other and the solution is (a, b).

Hence, the point of intersection is (a, b).