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

2 l^{2}

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2 \sqrt{3} l^{2}

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l^{2}

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3 l^{2}

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Solution

The correct option is A $2 l^{2}$

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