The points and are the endpoints of a diameter of a sphere

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

Problem

The points

P(k,1,2)

and

Q(3,5,-4)

are the endpoints of a diameter of a sphere. If the origin lies on the sphere, find the value of

k

. (a)

2

(b)

1

(c)

-1

(d)

\dfrac{5}{3}