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Let $\\Sigma_k^0(p)$ be the class of functions $f \\in \\Sigma_k(p)$ having expansion of the form $f(z)= 1/(z-p) + \\sum_{n=1}^{\\infty}b_n z^{n}$ on $\\mathbb{D}$. In this article, we obtain sharp area distortion and weighted area distortion inequalities for functions in $\\Sigma_k^0(p)$. 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