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An equilateral triangle has each side to...

An equilateral triangle has each side to a. If the coordinates of its vertices are `(x_(1), y_(1)), (x_(2), y_(2))` and `(x_(3), y_(3))` then the square of the determinat `|(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|` equals

A

`3a^(4)`

B

`(3a^(4))/(2)`

C

`(3)/(4)a^(4)`

D

`(3)/(8)a^(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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