1. ## Locus question

(c) is a circle of fixed center o and of radius 3 cm , and (c') of radius 1 cm. Suppose that M varies such that the two circles remain externally tangent .
1) determine the locus of M.
2) Let b be a fixed point of (c) . Determine the locus of N , the translate of M by the translation vector BO.(b to O )

2. Originally Posted by lebanon
(c) is a circle of fixed center o and of radius 3 cm , and (c') of radius 1 cm. Suppose that M varies such that the two circles remain externally tangent .
1) determine the locus of M.
2) Let b be a fixed point of (c) . Determine the locus of N , the translate of M by the translation vector BO.(b to O )

1) What is M, anyway?

2) How M "varies" so as the two circles remain externally tangent??

Tonio

3. Originally Posted by tonio
1) What is M, anyway?

2) How M "varies" so as the two circles remain externally tangent??

Tonio
M varies on (c") center o radius 4cm

4. M varies on (c") center O radius 4cm

5. (c) is a circle of fixed center o and of radius 3 cm , and (c') of radius 1 cm. Suppose that M varies such that the two circles remain externally tangent .
You still have not said what M is! You also do not say what the center of (c') is. Apparently where M is controls the position of the center of (c'). Is it possible that M is the center of (c')?