Let be a point in space

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

Let

P(k,2,1)

be a point in space. Find the greatest integer value of

k

for which

P

lies strictly inside the sphere

x^{2}+y^{2}+z^{2}<16

. (a)

4

(b)

3

(c)

5

(d)

2