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In Part (ii) of this question, the answer is
The Relation is neither reflexive, nor symmetric, but transitive.
You had done it wrong, for transitive !!
let P be a point on the line joining the points A(-1,4) and B(3,-6). find coordinates of P, when
P is the midpoint of AB
P divides AB in the ratio 2:1 internally
P divides AB in the ratio 3:2 externally