If P and Q are the points of intersection of the circles

Question:

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

  1.  All except two values of p

  2. Exactly one value of p

  3. Exactly one value of p

  4.  All except one value of p


Correct Option: , 4

Solution:

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