Question

find the condition for the line y=mx+c to be a tangent to the circle x²+y²=a²
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Answer 1

Step-by-step explanation:

x^2 + y^2 =a^2 is a circle with center A(0,0) and radius a. ... Note that x² + y² = a² is the equation of a circle centered at (0,0). Hence for a line Y = MX + c to touch this circle, its distance from center of the circle must be equal to the radius (of the circle)!