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The plane denoted by P(1) : 4x+7y+4z+81=...

The plane denoted by `P_(1) : 4x+7y+4z+81=0` is rotated through a right angle about its line of intersection with the plane `P_(2) : 5x+3y+ 10 z = 25`. If the plane in its new position is denoted by `P`, and the distance of this plane from the origin is d, then find the value of `[k//2]` (where `[*]` represents greatest integer less than or equal to k).

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