Question

the point which divides the line segment joining the points a) (0, 5) and b) (5, 0) internally in the ratio 2 :3 is ____________​

Answer 1

Answer:

4:9

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Answer 2

Answer:

(3,2)

we can take,

(0,5)=(x1,y1)

(5,0)=(x2,y2)

2:3 is the ratio

if the ratio is m:n,

the joining points will be

$x = \frac{(mx1) + (nx2)}{m + n} \\ y = \frac{(my2) + (ny1)}{m + n} \\ so \\ x = \frac{(2 \times 0) + (3 \times 5)}{2 + 3} \\ y = \frac{(2 \times 3) \times + (3 \times 0)}{2 + 3} \\ x = \frac{15}{5} = 3 \\ y = \frac{10}{5} = 2$

answer is (3,2)