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If the coordinates of the vertices of an equilateral triangle with sides of length `a` are `(x_(1),y_(1)),(x_(2),y_(2))` and `(x_(3),y_(3))` then
`|(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|=(3a^(4))/4`

A

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

B

`(3a^(5))/(4)`

C

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

D

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

Text Solution

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The correct Answer is:
A
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