JEE Math Practice Question
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.all except one value of $$p$$
- B.all except two values of $$p$$
- C.exactly one value of $$p$$
- D.all values of $$p$$
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