Thread: im confused

helloo i need to get an answer for this question

Show that the line y = mx + c touches the circle x^2 + y^2 = a^2 if c^2 = a^2(1+m^2)

it's very hard for me i need some help plz.

Show that the line y = mx + c touches the circle x^2 + y^2 = a^2 if c^2 = a^2(1+m^2)

if the line y = mx + c touches the circle(or tangent to the circle) then

Any help about this also?

The point (p,q) lies on the circle x^2 + y^2 = a^2.
Show that the equation of the tangent to the circle at (p,q) is px + qy = a^2

the equation of the tangent to the circle having centre at origin is given by




therefore equation of the tangent