Question

The points [a,b] is 5 units away from [0,b] then which of the following is true

Answer 1

Answer:

value of a is 5 or -5, distance is independent of the numeric value of b.

Step-by-step explanation:

Using distance formula, distance b/w points (x₁, y₁) , (x₂, y₂) is given by √(x₁ - x₂)² + (y₁ - y₂)².  In the question:

⇒ √(a - 0)² + (b - b)² = 5

⇒ a² + 0² = 5²

⇒ a² = 5²

⇒ a =  ± 5

Whatever the option might be, value of a is 5 or -5, distance is independent of the numeric value of b.