Determine the ratio in which the point p( m,6) divides the joint of a(-1,3)and b(2,8) also,find the value of m.
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Let the ratio be l:m internally, so for point P (m,6), 6 = (lx 8 + m x3)/(l +m), solving this,
6l +6m = 8l + 3m, or 3m = 2 l => l/m = 3/2 so l:m = 3:2
With this ration 3:2, for m = 3x2 + 2x(-4) / (3+2) => m = (6-8)/5 = -2/5
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