Mathematics

Mathematics

Problem

Let the circle

C_1: x^2 + y^2 - 2(x + y) + 1 = 0

and

C_2

be a circle having centre at

(-1, 0)

and radius 2. If the line of the common chord of

C_1

and

C_2

intersects the

y

-axis at the point

P

, then the square of the distance of

P

from the centre of

C_1

is : (a) 2 (b) 6 (c) 4 (d) 1

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