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Mathematics · 2020

JEE Main · 9 January 2020, Shift 2 · Q73

If the curves, x^2-6 x+y^2+8=0 and x^2-8 y+y^2+16- k =0,( k >0) touch each other at a point, then the largest value of k is \ \ \ \.

If the curves, $\displaystyle x^2-6 x+y^2+8=0$ and $\displaystyle x^2-8 y+y^2+16-\mathrm{k}=0,(\mathrm{k}>0)$ touch each other at a point, then the largest value of k is \_\_\_\_.
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.