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If $(1, a), (2, b), (c^{2}, - 3)$ are vertices of a triangle and centroid lie on X-axis, then $a + b =$

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answer is D.

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Detailed Solution

$\begin{array}{l} G = (\frac{1 + 2 + c^{2}}{3}, \frac{a + b - 3}{3}) \\ Since G lies on X - axis \\ So, \frac{a + b - 3}{3} = 0 \\ a + b = 3 \end{array}$

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