If and are the points of intersection of the circles x^2 + y^2 + 3x + 7y + 2p - 5 = 0…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

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 : (1) all except one value of

p

(2) all except two values of

p

(3) exactly one value of

p

(4) all values of

p