Question:medium

Let \( x-y=0 \) and \( x+y=1 \) be two perpendicular diameters of a circle of radius \( R \). The circle will pass through the origin if \( R \) equals:

Show Hint

Perpendicular diameters: \begin{itemize} \item Their intersection is the center. \item Use distance formula to find radius. \end{itemize}
  • \( \frac{1}{2} \)
  • \( \frac{1}{\sqrt{2}} \)
  • \( \frac{1}{\sqrt{3}} \)
  • \( \frac{1}{3} \)
Show Solution

The Correct Option is B

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