Question

*The ratio in which (4,5) divide the line segment joining the points (2,3) and (7,8) is …………*

1️⃣ 2:3
2️⃣ -2:3
3️⃣ 3:2
4️⃣ -3:2​

Answer 1

Given :  (4,5) divide the line segment joining the points (2,3) and (7,8)

To Find : Ratio in which it divides

1️⃣ 2:3

2️⃣ -2:3

3️⃣ 3:2

4️⃣ -3:2​

Solution:

Ratio m : n

points (2,3) and (7,8)

=>  (7m  + 2n)/(m + n)  = 4     and  (8m + 3n)/(m + n)  = 5

=> 7m + 2n = 4m + 4n

=> 3m  = 2n

=> m/n = 2/3

=> m : n =  2: 3

(4,5) divide the line segment joining the points (2,3) and (7,8) in 2 :3  ratio

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