f A(0, −3), B(5, 6), C(2k + 1, −43k) are given points in which C divides AB in 2 : 3. Find the value of 2k.
Question
Solution 1
To solve this problem, we can use the formula for the coordinates of a point that divides a line segment in a given ratio. The formula is:
C = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n))
where m:n is the given ratio and (x1, y1) and (x2, y2) are the coordinates of the points A and B respectively.
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