Questions in coordinate

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The coordinates of the join of trisection of the points (¬–2, 3), (3, –1) nearer to (–2, 3), is
If the vertices of a triangle are $A(1,4),\,B(3,0)$and $C(2,1),$then the length of the median passing through C is
Three vertices of a parallelogram taken in order are $(-1,\,-6)$, $(2,\,-5)$ and $(7,\,2)$. The fourth vertex is
P and Q are points on the line joining A (¬–2, 5) and B (3, 1) such that AP = PQ = QB. Then the mid-point of PQ is
The points of trisection of the line segment joining the points (3, –2) and (–3, –4) are
The coordinates of the point dividing internally the lines joining the points (4, –2) and (8, 6) in the ratio 7 : 5 will be
In what ratio does the y-axis divide the join of $(-3,\,-4)$and $(1,-2)$
If the three vertices of a rectangle taken in order are the points (2, –2), (8, 4) and (5, 7). The coordinates of the fourth vertex is
The line joining points (2, –3) and (–5,6) is divided by y-axis in the ratio
If P (1,2), Q(4,6) R(5, 7) and S(a, b) are the vertices of a parallelogram PQRS, then

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