Question

Write the equation for the line tangent to the circle x^2 + y^2 = 29 at the point (2, 5).

Answer 1

\[
2 x + 2 y y' =0\\
y '= -\frac x y\\
y'(2,5)= -\frac 2 5
\]
The equation of the tangent is
\[
y- 5 = -\frac 2 5 (x-2)\\

\]