MathDB

Q. A light source at the point

(0, 16)

in the co-ordinate plane casts light in all directions. A disc(circle along ith it's interior) of radius

2

with center at

(6, 10)

casts a shadow on the X-axis. The length of the shadow can be written in the form

m\sqrt{n}

where

m, n

are positive integers and

n

is squarefree. Find

m + n

Problem Statement