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If the curves x^2-6x+y^2+8=0 and x^2-8y+...

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

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MCGROW HILL PUBLICATION-JEE (MAIN) 2020 QUESTIONS ( 9TH JAN-AFTERNOON) -JEE (Main) 2020 Questions with Solutions Mathematics (9th Jan - Afternoon)
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