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

Question

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

Accepted Answer

36

JEE Main 2020 Mathematics question