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Let A(a,b),B(3,4) and C(-6,-8) respectiv...

Let `A(a,b),B(3,4)` and `C(-6,-8)` respectively denote the centroid,circumcentre and orthocentre of a triangle.Then,the distance of the point `P(2a+3,7b+5)` from the line `2x+3y-4=0` measured parallel to the line `x-2y-1=0` is

A

`(17sqrt(5))/(6)`

B

`(sqrt(5))/(17)`

C

`(15sqrt(5))/(7)`

D

`(17sqrt(5))/(7)`

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