Prove that the line \(y=mx+c\) will touch the circle \(x^2+y^2=25\) if \(c^2=25(1+m^2).\)
Hence or otherwise find the equations of the two tangents to this circle from the point \((2,11)\).
Quadratics
Question
Prove that the line \(y=mx+c\) will touch the circle \(x^2+y^2=25\) if \(c^2=25(1+m^2).\)
Hence or otherwise find the equations of the two tangents to this circle from the point \((2,11)\).