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The vertices of a triangle are (1, a),(2...

The vertices of a triangle are `(1, a),(2, b)` and `(c^2,-3).`(1) Prove that its centroid can not lie on the y-axis. (2) Find the condition that the centroid may lie on the x-axis for any value of `a,b,c in R`

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The correct Answer is:
`c= pm i sqrt(3)`
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