Find the largest value of for which every point satisfying also satisfies .

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

Find the largest value of

k>0

for which every point satisfying

x^{2}+y^{2}+z^{2}\le k^{2}

also satisfies

(x-3)^{2}+y^{2}+z^{2}\le 25