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Argand diagrams

Hello I have came across this question and I don’t understand where the method for finding the maximum value of r comes 5BC5732A-3F71-45AE-BE5A-7C80BFF00FCB.jpg.jpeg

5BC5732A-3F71-45AE-BE5A-7C80BFF00FCB.jpg.jpeg

Reply 1

grhas98

0A2E4489-E7C9-45BE-BD9A-B8C470B8A306.jpg.jpeg

I don’t understand the bit at the bottom about maximising r

(edited 1 year ago)

Reply 2

mqb2766

Original post by grhas98

I don’t understand the but at the bottom about maximising r

Youve got a (half) line intersecting a circle. If you sketch them with the center (3,5) and where the line originates at (2,0), it should be fairly clear about why there is a maximum value for r in order to have two intersection points.

(edited 1 year ago)

Reply 3

grhas98

Original post by mqb2766

Youve got a (half) line intersecting a circle. If you sketch them with the center (3,5i) and where the line originates at (2,0), it should be fairly clear about why there is a maximum value for r in order to have two intersection points.