Question

If the centroid of the triangle formed by `(7, x), (y , -6)` and `(9, 10)` is at `(6, 3)` , then `(x , y )=` `(4, 5)` (b) `(5, 4)` (c) `(-5, -2)` (d) `(5, 2)`
A. `5, 2`
B. `2, 5`
C. `1, 0`
D. `0, 0`

Answer 1

Correct Answer - A
Centroid os given triangle
`=((7+y+9)/3, (x-6+10)/3)`
`implies ((16+y)/3, (x+4)/3)=(6, 3)`
`implies 16+y=18, x+4=9`
`implies y=2, x=5`