It is known that the equation of a circle is (x-1) 2 + y2 = 9, and the tangent equation of a circle passing through a point (- 2,4) is obtained

It is known that the equation of a circle is (x-1) 2 + y2 = 9, and the tangent equation of a circle passing through a point (- 2,4) is obtained

Let the tangent be y = KX + 2K + 4
Center (1,0), r = 3
That is, the distance from the center of the circle to the straight line is the radius
→d=r=3=│3k+4│/√(1+k²)
→k=-7/24
? tangent equation: