Find the distances between the following points.

(i) A(a, 0), B(0, a)

(ii) P(-6, -3), Q(-1, 9)

(iii) R(-3a, a), S(a, -2a)

Find the ratio in which the line segment joining the points A(3,8) and B(-9, 3)is divided by the Y- axis.

Find the point on X-axis which is equidistant from P(2,-5) and Q(-2,9).

Find the coordinates of the circumcentre of a triangle whose vertices are (-3,1),(0,-2) and (1,3)

In the following examples, can the segment joining the given points form atriangle? If triangle is formed, state the type of the triangle considering sides ofthe triangle.

(1) L(6,4), M(-5,-3) , N(-6,8)

(2) P(-2,-6), Q(-4,-2), R(-5,0)

(3)