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Find area inside the circle x^2-2x+y^2-4y+1=0 and outside the ellipse x^2-2x+4y^2-16y+13=0

Asked by Umesh 13th December 2017, 9:17 AM
Answered by Expert
Answer:
The required area is
begin mathsize 16px style the space center space of space circle space is space left parenthesis 1 comma 2 right parenthesis space and space radius space is space 2
the space equation space of space ellipse space can space be space expressed space as
open parentheses straight x minus 1 close parentheses squared over 4 plus open parentheses straight y minus 2 close parentheses squared over 1 equals 1
straight a equals 2 space straight b equals 1
required space area space is space
area space of space circle minus area space of space ellipse
equals πr squared minus πab end style
 
Answered by Expert 15th December 2017, 2:36 PM
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