A circle has centre c(5,-4) and it touches the y axis at the point D. The circle cuts the x axis at the points A and B. The tangent at B cuts the y axis at P.

a)

===> determine: the coordinates of the points A and B at which the circle cuts the x-axis..

===> determine: the equation of the tangent at B

===> determine: the coordinates of P.

b)Show by calculation that PD=PB