For the points

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

Problem

For the points

A(0,0,0)

,

B(6,0,0)

and

C(3,k,0)

, the triangle

ABC

is equilateral for exactly one positive real value of

k

. What is this value? (a) 3 (b)

3\sqrt{3}

(c) 6 (d)

4\sqrt{3}

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