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 re

Question

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 re

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`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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`

5 views Answered 2023-02-05 15:29