The point R divides the line segment AB, where A (-4,0) and B (0,6) are such that AR=3/4AB. Find the coordinates of R.

Given, R divides the line segment joining A( – 4, 0) and B(0, 6) such that .

⇒ 4AR = 3AR + 3RB

⇒ AR = 3RB

∴ R divides the line segment AB in the ration 3 : 1

**Coordinates of the point dividing the line segment joining (****x**_{1}**, ****y**_{1}**) and (****x**_{2}**, ****y**_{2}**) in the ration ****m**** : ****n ****is **

Coordinates of R

Thus, the coordinates of R is .

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