This question was uploaded on 31/01/22 on social media accounts.
Solution:
Here, R=1+x
By using intersecting chord theorem:
\[\color{black}{y^2=\color{red}{(2)(2x)}=\color{blue}{(1-x)(1+x)}}\]
\[\color{black}{\Rightarrow y^2=\color{red}{4x}=\color{blue}{1-x^2}}\]
\[\color{black}{\Rightarrow x=\sqrt5-2}\]
\[\color{red}{R=1+x=\sqrt5-1}\]
Now,
\[\color{black} {\frac{\color{red}{R_{Red}}}{\color{blue}{R_{Blue}}}=\frac{\color{red}{\sqrt5-1}}{\color{blue}{1}}=\sqrt5-1}\]
