The point (-3. p) divides the line-seRment joining he points (-5, - 4) and (- 2, 3) internally in the ratio 2: 1. The value of p is
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Hello, Buddy!!
ɢɪᴠᴇɴ:-
- A(-5,-4) & B(-2,3) are the end points of a ling segment.
- (-3,p) divides the line segment in the ratio of 2:1.
ᴛᴏ ꜰɪɴᴅ:-
- The value of p.
ʀᴇQᴜɪʀᴇᴅ ꜱᴏʟᴜᴛɪᴏɴ:-
Let, m = 2 & n = 1
WKT
- (x,y) = [mx2+nx1/m+n, my2+ny1/m+n]
Where, (x,y) is the point that divides a line segment in the ratio of m:n
→ (-3,p) = [2(-2)+1(-5)/2+1, 2(3)+1(-4)/2+1]
→ (-3,p) = [(-4-5)/3, (6-4)/3]
→ (-3,p) = [(-9)/3, 2/3]
→ (-3,p) = [-3, 2/3]
- Value of p ☞ 2/3
@MrMonarque♡
Hope It Helps You ✌️
Answered by
13
Given :-
- A(-5, -4) and B(-2, 3) are the end points of a line segment.
- (-3, p) divides the line segment into ratio of 2:1.
To Find :-
- The value of p in (-3, p).
Solution :-
Let, m = 2 and n = 1.
We know that,
Here, (x, y) is the point that divides a line segment in the ratio of m:n
Hence the value of .
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