find a

the circles (x-a)^2 +(y-b)^2 =c^2 and (x-b)^2 +(y-a)^2 =c^2 touch each other....then a=____

8 Answers

1
satan92 ·

i dont think we can calculate a until some other info is given

we only get
(b-a)/√2=c

62
Lokesh Verma ·

you can satan

try thinking in tems fo a grpah!

1
satan92 ·

i did

(a,b) is the mirror image of (b,a) (in y=x)

hence c is just the distance of (a,b) from y=x

62
Lokesh Verma ·

yeah i agree..

but i did not understnad why u wrote this i dont think we can calculate a until some other info is given

1
satan92 ·

but he told to find a!!

1
Philip Calvert ·

i also don't think we can calculate a till something else is given

24
eureka123 ·

question is complete..................dont think ,just answer.............

62
Lokesh Verma ·

yes satan,

ur answer is correct.. i dont know eureka why u think this is not the solution...

(b-a)/√2=c

basically one small mistake in rohan's solution was

|b-a|/√2=|c|

so u have to take 2 cases, a>b and b>a

if b>a, a=b-√2|c|

if a>b, a=b+√2|c|

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