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Chanchal Kumar Grade: 11
`        A(1,1) and B(2,-3) are two points and D is a point on AB produced such that AD=3AB. Find the co-ordinates of D`
7 years ago

## Answers : (2)

AJIT AskiitiansExpert-IITD
68 Points
```										Dear Chanchal ,
we are given AD =3AB , AB +BD  = 3AB ;  2AB = BD , therefore B divides AD in the ratio of 1:2.
let d be (x,y ) then applying formulae ,
2  = (x +2)/3 ;  x = 4 and -3 = (y +2)/3 =-3 ; y =-11
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```
7 years ago
gOlU g3n|[0]uS
42 Points
```										ans    let D(x,y)
let AB=k and AD= 3k
x=3k(2)+k(1)/4k = 6k+k/4k = 7/4.
y=3k(-3)+k(1)/4k = -9k+k/4k = -2.
HENCE D(7/4,-2).
```
7 years ago
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