Showing a line is a tangent by the discriminant

Showing a line is a tangent by the discriminant

Secondary 3
TGM Original Questions

Show that the line \(y=x+3\) is a tangent to the circle \(x^2+y^2-6x-4y+5=0\), and find the coordinates of the point of contact.

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Answer:The line is a tangent; point of contact \((1,4)\).

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