Question

Find the equation of the tangent to the circle x 2+y2=a2 at (x0, y0).​

Answer 1

Answer:

Required equation of tangent is given by,

xx

1

+yy

1

−a(x+x

1

)=0

⇒ax(1+cosα)+aysinα−a(x+{a(1+cosα)})=0

⇒xcosα+ysinα=a(1+cosα)

Answer 2

Answer:

We are assuming the point $(x_0,y_0)$ lies on the circle. Then the equation of the tangent is $x_0 x+y_0y=a^2$

Step-by-step explanation: