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If P and Q are the points of intersection of the circles $x^2+y^2+3x+7y+2p-5=0$ and $x^2+y^2+2x+2y-p^2 = 0$ then there is a circle passing through P, Q and (1, 1) for

( A ) exactly one value of p
( B ) all values of p
( C ) all except two values of p
( D ) all except one value of p

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