First, use the section formula directly: for ratio m:n = 2:3, the point is ((2*4 + 3*(-1))/(2+3), (2*(-3) + 3*7)/(2+3)), which gives (1, 3). But yaar, sitting in this cramped Kota room solving endless problems, I can't help but think how often they just ask for the formula—when what really divides a line is something else entirely. For me, it's the distance between this coaching factory and my home in the hills, a ratio of tension to peace that no formula in these books can ever solve.
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