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CBSE Class 11-science Answered

F i n d space t h e space e q u a t i o n space o f space t h e space c i r c l e space o f space r a d i u s space 2 space a n d space c e n t r e space i s space t h e space p o i n t space w h i c h space d i v i d e s space t h e space l i n e space s e g m e n t space j o i n i n g space t h e space p o i n t s space left parenthesis 3 comma 2 right parenthesis space a n d space left parenthesis 4 comma 9 right parenthesis space i n space t h e space r a t i o space 1 colon 2.Please provide solution to this question
Asked by Topperlearning User | 15 Nov, 2016, 09:50: PM
answered-by-expert Expert Answer

L e t space t h e space c e n t r e space b e space left parenthesis h comma k right parenthesis. R a d i u s equals 2 space u n i t s G i v e n comma space t h e space c e n t r e space d i v i d e s space t h e space l i n e space s e g m e n t space j o i n i n g space t h e space p o i n t s space left parenthesis 3 comma 2 right parenthesis space a n d space left parenthesis 4 comma 9 right parenthesis i n space t h e space r a t i o space 1 colon 2 space s o h equals open parentheses fraction numerator 1.4 plus 2.3 over denominator 1 plus 2 end fraction close parentheses space equals 10 over 3 space k equals open parentheses fraction numerator 1.9 plus 2.2 over denominator 1 plus 2 end fraction close parentheses equals 13 over 3 C e n t e r space i s space open parentheses 10 over 3 comma 13 over 3 close parentheses T h e space e q u a t i o n space o f space t h e space c i r c l e space i s space open parentheses x minus 10 over 3 close parentheses squared plus open parentheses y minus 13 over 3 close parentheses squared equals 4 rightwards double arrow 9 x squared plus 9 y squared minus 60 x minus 78 y plus 233 equals 0

Answered by | 15 Nov, 2016, 11:50: PM

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