Find the distance between the following pairs of points:

Question 1 of 18beginner🔧 ApplyNumerical3 marks

(i)

(2, 3), (4, 1)

Answer

2 $\sqrt{2}$ units

(ii)

(-5, 7), (-1, 3)

Answer

4 $\sqrt{2}$ units

(iii)

(a, b), (-a, -b)

Answer

2 $\sqrt{a² + b²}$ units

Explanation

The distance formula PQ = √[(x₂ - x₁)² + (y₂ - y₁)²] is derived from Pythagoras theorem. For each pair of points, we substitute the coordinates into this formula and simplify the expression.