Question

The radius of the circle passing through the points $(0,0),(1,0)$ and $(0,1)$ is -

• A. $2$
• B. $1/\sqrt{2}$
• C. $\sqrt{2}$
• D. $1/2$

Answer 1

Answer: (B)

$1/\sqrt{2}$

From the above figure we can say that,

Center = $(\frac{1}{2},\frac{1}{2})$

So, Radius of circle

= $\sqrt{(\frac{1}{2}-0{)}^2+(\frac{1}{2}-0{)}^2}$

= $\sqrt{\frac{2}{4}}$

= $\frac{1}{\sqrt{2}}$

Hence, (B) is the correct answer.