Consider the following statementas.
I. The intercept made by the circle
`x^(2)+y^(2)-2x-4y+1=0` on Y- axis is `2sqrt(3)`
II. The intercept made by the circle
`x^(2)+y^(2)-4x-2y+6=0` on X-axis is `2sqrt(2)`
III. The straight line `y=2x+1` cuts the circle br `x^(2)+y^(2) = 9` at two distinct points
Then which one of the following option is correct?

Options

A. `{:(I,II,III),("True","True","True"):}`
B. `{:(I,II,III),("True","True","False"):}`
C. `{:(I,II,III),("True","False","True"):}`
D. `{:(I,II,III),("False","False","True"):}`

Answer

C