If the point C(k, 4) divides the join of the points A(2,6) and B(5,1) in the P_1 ratio 2: 3 then ...

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If the point C(k, 4) divides the join of the points A(2,6) and B(5,1) in the
P_1 ratio 2: 3 then the value of k is
(a) 16
(b) 28/5
(c) 16/5
(d) 8/5

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