Hello,

Kindly visit the following link to get the solution for your question :

https://books.google.co.in/books?id=OCc8BAAAQBAJ&pg=SA2-PA43&lpg=SA2-PA43&dq=the+equation+of+circle+touching+the+axes+and+line3x-4y%3D12&source=bl&ots=DR3s82pJTa&sig=ACfU3U0cZrT3dGlpnISA-LcKvRyEDiT_iw&hl=en&sa=X&ved=2ahUKEwi6js7A987mAhWVbysKHYbXA-wQ6AEwCXoECAQQAQ#v=onepage&q=the%20equation%20of%20circle%20touching%20the%20axes%20and%20line3x-4y%3D12&f=false

Hope this helps, Good luck.