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BodhiAI1
Nov. 15, 2019

line& Circle ,Condition Of Tangency:

Condition of Tangency

Let the line y = mx + c is tangent to the circle x2 + y2 = a2 then

which is a quadratic in x, then according to Condition of Tangency, we must have

which is the condition for which the line y = mx+c is tangent to the circle x2 + y2 = a2