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#1 2017-05-05 11:09:07

ABC1234
Member
Registered: 2016-12-22
Posts: 20

Circle Problems

Circle C1 has equation (x+2)^2 + (y+4)^2 = 64 and circle C2 has equation (x-h)^2 + (y-1)^2 = 81.
The distance between the center of the circles is 13.
1. Find all possible values of h
2. If a segment connecting the centers is drawn, let A be the intersection of the segment with C1 and B be the intersection of the segment with C2. Find AB.
3. Find the equation of the two circles that have the same center as C1 and are tangent with C2.

For part 1, I've already found out that h=-14, 10.  Could you please help me with the rest?  Thanks!  (Please include steps, not just the answers)

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#2 2017-05-05 16:50:57

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Circle Problems

(2) is simply arithmetic not even algebra.Can you find C1A,AC2,BC2and C1B?
for (3) simply ascertain the radii of the circles first and then put the equation.


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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