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If G(3, -5, r) is centroid of triangle A...

If G(3, -5, r) is centroid of triangle ABC where A(7, - 8, 1), B(p, q, 5) and C(q + 1, 5p, 0) are vertices of a triangle then values of p, q, r are respectively ...

A

`6, 5, 4`

B

`-4,5,4`

C

`-3,4,3`

D

`-2,3,2`

Text Solution

Verified by Experts

The correct Answer is:
D
Here,`((7+p+q+1)/3,(-8+q+5p)/3,(1+5+0)/3)`
`rArr((8+p+q)/3,(-8+5p+q)/3,2)=(3,-5,r)`
`rArr(8+5+q)/3=3,(-8+5p+q)/3=-5,2=r`
`rArr8+p+q=9,-8+5p+q=-15,r=2`
`rArrp+q=1,5p+q=-7,r=2`
`rArrp=-2,q=3,r=2`
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