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Let A(x(1), y(1)), B(x(2), y(2)), C(x(3)...

Let `A(x_(1), y_(1)), B(x_(2), y_(2)), C(x_(3), y_(3)) and D(x_(4), y_(4))` are four points which are at equal distance from the lines `3x-4y+1=0 and 8x+6y+1=0`, The mean of the coordinates of the centroids of `DeltaABC, DeltaBCD, DeltaCDA and DeltaDAB` are

A

`((-4)/(5),(2)/(5))`

B

`((-1)/(5),(1)/(10))`

C

`((-3)/(5),(3)/(10))`

D

`((-4)/(15),(2)/(15))`

Text Solution

Verified by Experts

The correct Answer is:
B
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