TMUA Practice Question — Worked Solution

P1·Coordinate Geometry·6.0Mock 0 · P1 · Q12

circlescommon chordsubtracting equationsintersecting circlesrejected root

The circles

x^{2} + y^{2} + 2 x + 6 y - 26 = 0 and x^{2} + y^{2} - 2 k x + 2 y + k^{2} - 3 = 0,

where

k

is a constant, meet at two points. The straight line through these two points passes through the point

(3, 3)

.What are the possible values of

k

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