Question

Write the equation of the line that is tangent to the circle 25 = (x - 1)^2 + (y + 2)^2 at the point (5, -5).

Answer 1

a line passing throught 5,-5 is
y-5 = m(x+5)

its distance from cenre of the circle is 5, that will give the value of m,
hence you have the tangent