The triangle ABC has equation of sides AB and AC as (x−7)⋅∣x−y+1∣=0 , where AC makes right angle with the horizontal axis. Equation of the remaining side is given by y+2=0 . A point P is taken on AB such that PBAP=41 and another point Q is taken on AC such that QCAQ=15 , if the circumcenter of ΔABC is O(a,b) and tangent of acute ∠OPQ is dc ; (c, d are co-primes), then which of the following is true?
A. a+b+c+d=25
B. a−b+c+d=37
C. a−b+c+d=43
D. −a−b+c+d=23