Circles · Chords bisected by a line

Suppose the two chords, drawn from the point

(1, 2)

on the circle

x^2 + y^2 + x - 3y = 0

are bisected by the

y

-axis. If the other ends of these chords are

R

and

S

, and the mid point of the line segment

RS

(\alpha, \beta)

, then

6(\alpha + \beta)

is equal to:

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