The ratio in which (4, 5) divides the join of (2, 3) and (7, 8) is
Answers
Let the point P (4,5) divides the segment A(2,3) and (7,8) in the ratio of k:1.
The Division formula , i.e if a point P(x,y) divides (a,b) and (c,d) in m:n, then
x = and y =
Applying the formula,
→ 4(k +1)= 7 k+ 2
→ 4 k +4 =7 k +2
→ 7 k - 4 k= 4-2
→ 3 k = 2
→ k =2/3
So, (4,5) divides the join of (2,3) and (7,8) in the ratio of 2:3.
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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