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

Question

Philoid · Accepted Answer

⇒ 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.