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.