Consider a circle If circle touches | Circle | JEE MAIN 2024

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27-01-24 S2

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Consider a circle $(x-\alpha)^2+(y-\beta)^2=50$, where $\alpha, \beta>0$. If the circle touches the line $y+x=0$ at the point P , whose distance from the origin is $4 \sqrt{2}$, then $(\alpha+\beta)^2$ is equal to

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