© In the following figure, the two circles
C(0,4) and C'(O',2) are tangent externally at
point L.
(ML) is the common tangent at L to the two
circles, and (AP) is the tangent to Cat A and to
at P ( do not reproduce the figure )
a) Show that PAL is right angled at L.
b) N is the midpoint of [OA]. What is the nature
of PANO"? Justify your answer.
c) Calculate O'N. Deduce then ML.
d) Without any calculations, show that OMO' is a right angle.
e) Verify the preceding result by calculation
(if you answer it you will get 40 points please help me)