Question

Distance between two points (am1square, 2am1) and (am2squere, 2am2)

Answer 1

Formula:

The given points are (x₁, y₁) and (x₂, y₂)

The distance between the two points are

= √{(x₁ - x₂)² + (y₁ - y₂)²} units

Step-by-step solution:

The given points are (am₁², 2am₁) & (am₂², 2am₂)

Using the above formula, we get the required distance between the given points

= √{(am₁² - am₂²)² + (2am₁² - 2am₂²)²} units

= √{a² (m₁² - m₂²)² + (2a)² (m₁² - m₂²)²} units

= √{a² (m₁² - m₂²)² + 4a² (m₁² - m₂²)²} units

= √{5a² (m₁² - m₂²)²} units

= √[5 {a (m₁² - m₂²)}²] units

= a (m₁² - m₂²) √5 units