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Question -

Point R (h, k) divides a line segment between the axes in the ratio 1:2. Find equation of the line.



Answer -

Let AB be the line segment between the axes such that point R (h, k) divides AB in the ratio 1: 2.

Let the respective coordinates of A and B be (x, 0) and (0, y).
Since point R (h, k) divides AB in the ratio 1: 2, according to the section formula,
Therefore, the respective coordinates of A and B are  and (0, 3k).
Now, the equation of line AB passing through points   and (0, 3k) is
Thus,the required equation of the line is 2kx + hy = 3hk.

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