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An equilateral triangle has each of its sides of length 6 cm. If `(x_(1),y_(1)), (x_(2),y_(2))` & `(x_(3),y_(3))` are the verticles, then the value of the determinant `|{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|^(2)` is equal to :

A

`-972`

B

`-486`

C

`486`

D

`972`

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The correct Answer is:
A
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