Q5 of 157 Page 760

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

⇒ If P(x, y) is the dividing point of the line joining AB then By Section Formula we have,


⇒ and y


where m and n is the ratio in which the point C divides the line AB


Finding the value of k:


⇒ m = 2 and n = 3


⇒


⇒


The value of k is 16/5.

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