Find the distance of the point P(6, -6) from the origin.

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)

If a point P(x, y) is equidistant from the points A(6, -1) and B(2, 3), find the relation between x and y.

Find a point on the x-axis which is equidistant from the points A(7, 6) and B(-3, 4).

Find the distance between the points A(x₁, y₁) and B(x₂, y₂), when

(i) AB is parallel to the x-axis

(ii) AB is parallel to the y-axis.