`C_(1)` is a circle of radius 2 touching X-axis and Y-axis. `C_(2)` is another circle of radius greater than 2 and touching the axes as well as the circle `C_(1)`
Statemnet I Radius of Circle `C_(2)=sqrt2(sqrt2+1)(sqrt2+2)`
Statement II Centres of both circles always lie on the line y=x.

Options

A. Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I
B. Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I
C. Statement I is true, Statement II is false
D. Statement I is false, Statement II is true

Answer

`:.` Statements I is true and Statements II is always not true (where circles in II of IV quadrants)