For which set of real values of does the point lie outside the sphere centred at the…

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

Problem

For which set of real values of

k

does the point

(k,\,2k,\,1)

lie outside the sphere centred at the origin with radius

5

? (a)

|k|>\sqrt{\dfrac{24}{5}}

(b)

|k|<\sqrt{\dfrac{24}{5}}

(c)

k>\sqrt{\dfrac{24}{5}}

(d)

|k|>\sqrt{5}