Question

Find the condition that the line y = mx + c be a
tangent to the circle x2 + y2 = a.​

Answer 1

Answer:

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Step-by-step explanation:

The condition for a line y = mx + c to be tangent to the circle x2 + y2 = r2, ... (2) x2 + y2 = r2 (m2 + 1) · x2 + 2mc · x + c2 - r2 = 0 and according to the condition, D = b2 - 4ac = 0 or (mc)2 - 4(m2 + 1)(c2 - r2) = 0 gives r2·(m2 + 1) = c2 the tangency condition.