Question

If $P$ is any arbitrary point on the circumcircle of the equilateral triangle of side length $l$ units then $|\overrightarrow{PA}{|}^2+|\overrightarrow{PB}{|}^2+|\overrightarrow{PC}{|}^2$ is always equal to

• A. $2l^2$
• B. $2\sqrt{3}{l}^2$
• C. $l^2$
• D. $3l^2$

Answer 1

The correct option is A $2l^2$