Let and be two points in space

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

Problem

Let

A(a,1,2)

and

B(1,2a,1)

be two points in space, where

a

is a real number. Determine the set of all real values of

a

for which point

A

is closer to the origin than point

B

.

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