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Slopes of the two tangents from an external point P(x₁, y₁) to a circle satisfy what kind of equation in m?

ALinear equation
BQuadratic equation
CCubic equation
DEquation, no roots
Answer & Solution
Correct answer: B. Quadratic equation
Requiring the distance from the centre to y − y₁ = m(x − x₁) to equal the radius gives a quadratic in m.
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