Question

The co-ordinates of a point which divides the join of (2,4) & (x.y) in the ratio 5:3 are | then x& yare​

Answer 1

Answer:

Given: A:(x

1

,y

1

)=(−1,7)

B:(x

2

,y

2

)=(4,−3)

To find: P(x,y)suchthatAP:PB=2:3

Solution: From section formula, coordinates of point P that divides the line segment joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n are (

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

Hence, coordinates of point P are: (x,y)=(

2+3

2×4+3×−1

,

2+3

2×−3+3×7

)

⇒(1,3)