TMUA 2021 Paper 2 Q15 — Worked Solution

P2·Coordinate Geometry, Algebra & Surds·6.5Official · 2021 · Q15

circle-equationtangent-conditioncompleting-the-square

A circle has equation

x^{2} + a x + y^{2} + b y + c = 0

where

a

b

and

c

are non-zero real constants.Which one of the following is a necessary and sufficient condition for the circle to be tangent to the

y

-axis?

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