find the ratio in which the point (-6/5,4) divides the join of points (3,5)and (-4.5)
Answers
Answer:
The point given is P(4,5).
Given A(2,3) and B(7,8)
Let P divides the line segment joining the points (2,3) and (7,8) in the ratio m:1
The coordinates of P=(
m+1
mx
2
+x
1
,
m+1
my
2
+y
1
)
⇒(4,5)=(
m+1
7m+2
,
m+1
8m+3
)
On comparing both the sides, we get
m+1
7m+2
=4
⇒7m+2=4m+4
⇒7m−4m=4−2
⇒3m=2
⇒m=
3
2
Therefore, P(4,5) divides the line segment joining two points A and B in the ratio 2:3 .
The point given is P(4,5).
Given A(2,3) and B(7,8)
Let P divides the line segment joining the points (2,3) and (7,8) in the ratio m:1
The coordinates of P=(
m+1
mx
2
+x
1
,
m+1
my
2
+y
1
)
⇒(4,5)=(
m+1
7m+2
,
m+1
8m+3
)
On comparing both the sides, we get
m+1
7m+2
=4
⇒7m+2=4m+4
⇒7m−4m=4−2
⇒3m=2
⇒m=
3
2
Therefore, P(4,5) divides the line segment joining two points A and B in the ratio 2:3 .
Step-by-step explanation: