Line L has equation x + 2y - 10=0  and the line K, perpendicular to line L, passes through the origin if the line L crosses the x axis at A and the y axis at B,  Find the coordinates of A and B and the coordinates of Q that divides AB in the ratio 2:3

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the equation of Line L is x + 2y - 10 = 0. This line intersects the x and y axes at A and B respectively.

At point A, the y-coordinate is 0, the x-coordinate is 10. The point A is (10, 0). At point B, the x-coordinate is 0, the y coordinate is 5. The co-ordinates of B are (0, 5)

Point Q lies at a location such that AB is divided in the ratio 2:3.

The x-coordinate of Q is 10 - (2/5)*(10 - 0) = 6. The y-coordinate of Q is 0 - (2/5)*(0 - 5) = 2

The coordinate of point Q is (6, 2)

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