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Mathematics · 2022

JEE Main · 28 July 2022, Shift 2 · Q85

Two tangent lines l_1 and l_2 are drawn from the point (2,0) to the parabola 2 y^2=-x. If the lines l_1 and l_2 are also tangent to the circle…

Two tangent lines $\displaystyle l_1$ and $\displaystyle l_2$ are drawn from the point $\displaystyle (2,0)$ to the parabola $\displaystyle 2 \mathrm{y}^2=-x$. If the lines $\displaystyle l_1$ and $\displaystyle l_2$ are also tangent to the circle $\displaystyle (x-5)^2+\mathrm{y}^2=\mathrm{r}$, then $\displaystyle 17$ r 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.