Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

<div>If the circle</div> <div><img class="Wirisformula" alt="x squared plus y squared plus 2 g x space plus space 2 f y space plus c space equals space 0 comma space c u t s space e a c h space o f space t h e space c i r c l e s&#10;x squared plus y squared minus 4 space equals space 0 space comma space x squared plus y squared minus 6 x space minus space 8 y space plus 10 space equals space 0 space a n d space x squared plus y squared plus 2 x minus 4 y space minus 2 space equals space 0 space a t space t h e space e x t r e m i t i e s space o f space t h e i r&#10;r e s p e c t i v e space d i a m e t e r s comma space t h e n&#10;&#10;a right parenthesis space C space equals space minus 4 space space space space space space space space space B right parenthesis space thin space g plus thin space f space equals space c minus 1 space space space space space space space C right parenthesis space g squared plus f squared minus c space equals space 17 space space space space space space D right parenthesis space space space g. f space equals space minus 6" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=4e4dda30df3d3ae37da867cfd81fe332.png" align="middle" /></div>
Asked by Sunil Soni | 10 Aug, 2016, 05:57: PM
Expert Answer
begin mathsize 16px style E q u a t i o n space o f space t h e space c o m m o n space c h o r d space o f space t h e space c i r c l e space w h o s e space s tan d a r d space e q u a t i o n s space a r e space S subscript 1 equals 0 space a n d space S subscript 2 space equals 0 space i s
S subscript 1 space equals S subscript 2
T h e space r e q u i r e d space c i r c l e space b i s e c t s space e a c h space o f space t h e space g i v e n space c i r c l e s space a t space t h e space e x t r e m e t i e s space o f space t h e space d i a m e t e r space h e n c e space i t space i s space t h e space
c o m m o n space c h o r d space t o space e a c h space o f space t h e space c i r c l e s space g i v e n space t h a t space s h o u l d space p a s s space t h o r u g h space t h e space c e n t r e space o f space t h e space c i r c l e s colon
x squared plus y squared minus 4 space equals 0 space h a s space c e n t r e space left parenthesis 0 comma 0 right parenthesis
n o w comma
x squared plus y squared minus 4 space equals space x squared plus y squared plus 2 g x plus 2 f y plus c space....................... b y open parentheses 1 close parentheses
rightwards double arrow space c equals negative 4 space space a s space c e n t r e space i s space open parentheses 0 comma 0 close parentheses

x squared plus y squared space minus 6 x minus 8 y plus 10 equals 0 space h a s space c e n t r e space left parenthesis 3 comma 4 right parenthesis
x squared plus y squared space plus 2 x minus 4 y plus 10 equals 0 space space h a s space c e n t r e space left parenthesis negative 1 comma 2 right parenthesis

S i m i l a r l y space s o l v i n g space f o r space a l l space s e t space o f space e q u a t i o n s space w e space g e t
space space space space space space space space space space c equals negative 4 space space...................................... open parentheses i close parentheses
space space space space space space 6 g plus 8 y plus c equals negative 40............................ open parentheses i i close parentheses
space space space space space minus 2 g plus 4 f plus c equals negative 12........................... open parentheses i i i close parentheses
s o l v i n g space t h e space a b o v e space w e space g e t space c equals negative 4 comma space g equals 6 space a n d space f equals 1
h e n c e space open parentheses a close parentheses space i s space c o r r e c t space end style
Answered by Tripti Agrawal | 12 Aug, 2016, 03:28: PM
CBSE 11-science - Maths
Asked by shakyajayprakash2006 | 08 Jun, 2022, 05:26: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by sbipo2000 | 23 Feb, 2020, 03:43: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
6
Asked by gauravmore604 | 04 Nov, 2019, 03:31: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Tejravi969 | 19 Aug, 2019, 06:08: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 30 Apr, 2014, 11:08: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 25 Apr, 2014, 09:39: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 25 Apr, 2014, 09:11: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 25 Apr, 2014, 09:11: AM
ANSWERED BY EXPERT
Free Sample Papers - Click Here
×