Mathematics

Mathematics

Problem

If

P

and

Q

are the points of intersection of the circles

x^2 + y^2 + 3x + 7y + 2p - 5 = 0 \text{ 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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