Answer :

Given that point C(k, 4) divides the join of A(2, 6) and B(5, 1) in the ratio 2 : 3.


m:n = 2:3


Recall that if (x,y) ≡ (a,b) then x = a and y = b


Let (x,y) ≡ (k,4)


(x1,y1) ≡ (2,6)


and, (x2,y2) ≡ (5,1)


Now, Using Section Formula-



On dividing numerator and denominator of R.H.S by n, we get-





k = (16/5)


Thus the value of k is (16/5).


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