Key points to solve the problem:

• Idea of distance formula- Distance between two points A(x₁,y₁) and B(x₂,y₂) is given by- AB =

Given, P(x₁, y₁) and Q(x₂, y₂) are two points.

i) When PQ is parallel to the y-axis

This implies that x – coordinate is constant ⇒ x₂ = x₁

∴ from distance formula:

PQ = = |y₂ - y₁|…ans

ii) When PQ is parallel to the x-axis

This implies that y – coordinate is constant ⇒ y₂ = y₁

∴ from distance formula:

PQ = = |x₂ - x₁|…ans

Note: we take modulus because square root gives both positive and negative values, but distance is always positive so we make it positive using modulus function.