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If the origin is the centroid of the tri...

If the origin is the centroid of the triangle PQR with vertices `P (2a , 2, 6)`, `Q ( 4, 3b , 10)`and `R(8, 14 , 2c)`, then find the values of a, b and c.

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The correct Answer is:
N/a
Here `P-=(2a,2,6), Q-=(-4,3b,-10) " and" R-=(8,14,2c)`
The centroid of `DeltaPQR` is origin
`therefore (2a-4+8)/(3)=0 implies a= -2`
`(2+3b+14)/(3)=0 implies = - (16)/(3)`
and `(6-10+2c)/(3) =0 implies c=2`
`therefore a= - 2, b= - (16)/(3), c=2`
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