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Mathematics · 2022

JEE Main · 26 June 2022, Shift 1 · Q12

Let C be a circle passing through the points A(2,-1) and B(3,4). The line segment A B is not a diameter of C. If r is the radius of C and its centre…

Let $\displaystyle C$ be a circle passing through the points $\displaystyle A(2,-1)$ and $\displaystyle B(3,4)$. The line segment $\displaystyle A B$ is not a diameter of C. If r is the radius of C and its centre lies on the circle $\displaystyle (x-5)^2+(y-1)^2=\frac{13}{2}$, then $\displaystyle \mathrm{r}^2$ is equal to :
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.