Find the distance between the points:

(i) A(2, -3) and B(-6, 3)

(ii) C(-1, -1) and D(8, 11)

(iii) P(-8, -3) and Q(-2, -5)

(iv) R(a + b, a – b) and S(a – b, a + b)

(i) Formula Used:

Distance between any two points A(x₁, y₁) and B(x₂, y₂)=

Distance between A(2, -3) and B(-6, 3)

= 10 units

Therefore, the distance between points A and B is 10 units.

(ii) Distance between C(-1, -1) and D(8, 11) =

= 15 units

Therefore, the distance between points C and D is 10 units.

(iii) Distance between P(-8, -3) and Q(-2, -5)=

units

Therefore, the distance between the points P and Q is units.

(iv) Distance between R(a + b, a - b) and S(a - b, a + b) =

units

Therefore, the distance between the points R and S is units.