A) \[\text{550 }\Omega \]
B) \[\text{910 }\Omega \]
C) \[\text{990 }\Omega \]
D) \[\text{505 }\Omega \]
Correct Answer: A
Solution :
[a] |
\[x+y=1000\] |
\[\frac{x}{y}=\frac{\ell }{100-\ell }\] |
\[\frac{y}{x}=\frac{\ell -10}{110-\ell }\] |
\[\frac{\ell (\ell -10)}{(100-\ell )(110-\ell )}=1\] |
\[{{\ell }^{2}}-10\ell =11000-100\ell -110\ell +{{\ell }^{2}}\] |
\[200\ell =11000\] |
\[\ell =55\] |
\[\frac{x}{y}=\frac{55}{45}\] |
\[x=550\,\,\Omega \] |
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