Questions in coordinate

Select	Question
	If the point dividing internally the line segment joining the points (a, b) and (5, 7) in the ratio 2 : 1 be (4, 6), then
	If the middle point of the line segment joining the points (5, a) and (b,7) be (3,5), then (a, b) =
	The ratio in which x-axis divides the join of the points (2, –3) and (5, 6) is
	The point which divides externally the line joining the points $(a+b,\,a-b)$ and $(a-b,a+b)$ in the ratio $a:b$, is
	The coordinates of the points A, B, C are $({{x}_{1}},{{y}_{1}})$, $({{x}_{2}},{{y}_{2}})$, $({{x}_{3}},\,{{y}_{3}})$ and D divides the line AB in the ratio l : k. If P divides the line DC in the ratio m : k + l, then the coordinates of P are
	The points which trisect the line segment joining the points (0, 0) and (9, 12) are
	The line $x+y=4$ divides the line joining the points (–1, 1) and (5, 7) in the ratio
	If the point (x, – 1), (3, y), (– 2,3) and (– 3, – 2) be the vertices of a parallelogram, then
	The mid-points of sides of a triangle are (2, 1), (–1, –3) and (4,5). Then the coordinates of its vertices are
	Point $\left( \frac{1}{2},\,\frac{-13}{4} \right)$divides the line joining the points $(3,-5)$and $(-7,2)$ in the ratio of