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If |{:(2a, x (1), y (1)), ( 2b, x (2), y...

If `|{:(2a, x _(1), y _(1)), ( 2b, x _(2), y _(2)), (2c, x _(3), y _(3)):}|= (abc)/(2) ne 0,` then the area of the triangle
whose vertices are `((x _(1))/(a) , ( y _(1))/(a)) , ( (x _(2))/(b), ( y _(2))/( b) ) and ((x _(3))/( c), (y _(3))/( c))` is

A

`1/4 abc `

B

`1/ abc `

C

`1/4`

D

`1/8`

Text Solution

Verified by Experts

The correct Answer is:
D
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