p&q be two pointsand their coordinatores we (3,4) &(6,2) respectively ,the point R divides pq in the ratio determine the co ordinator
Answers
Answered by
0
Step-by-step explanation:
Since P and Q be the points of trisection of the line segment joining the points A(2,−2) and B(−7,4) such that P is nearer to A.
Therefore, P divides line segment in the ratio 1:2 and Q divides in 2:1 as shown in the figure.
Using section formula,
Coordinates of P = [
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
]
= [
1+2
1(−7)+2(2)
,
1+2
1(4)+2(−2)
]
= [
3
−3
,
3
0
]
= [−1,0]
Coordinates of Q =[
2+1
2(−7)+1(2)
,
2+1
2(4)−1(−2)
]
= [
3
−12
,
3
6
]
= [−4,2]
Answered by
1
Answer:
position vector of P = 3a-2b
position vector of Q =a+b
point R divides segment PQ in ratio 2:1 externally .
position vector of R =
(position of P)1-(position of Q )2/1-2
position vector of R =
(3a-2b)1-(a+b)2/-1=a-4b/-1
therefore the position vector of R=
4b-a.
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