If the line `y = mx - (m-1)` cuts the circle `x^2+y^2=4` at two real and distinct points then

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?

Observed the following statements I: The intercepts of the circle x^(2)+y^(2)-4x+13=0 on y-axis is sqrt(7) II: The intercept made by the circle x^(2)+y^(2)-4x-8y+13=0 on x-axis is 15 III: The straight line y=x+1 cuts the circle x^(2)+y^(2)=1 in two, two distinct points, then truness, falseness of the above statements are

Observed the following statements I: The intercepts of the circle x^(2)+y^(2)-4x+13=0 on y-axis is sqrt(7) II: The intercept made by the circle x^(2)+y^(2)-4x-8y+13=0 on x-axis is 15 III: The straight line y=x+1 cuts the circle x^(2)+y^(2)=1 in two, two distinct points, then truness, falseness of the above statements are

The range of values of m for which the line y = mx + 2 cuts the circle x^(2)+y^(2) = 1 at distinct or coincident points is :

The range of values of m for which the line y = mx+2 cuts the circle x^(2) +y^(2) =1 at distinct or coincident points is :

The straight line y=mx+c cuts the circle x^2+y^2=a^2 at real points if

The line y=mx+c cuts the circle x^2 + y^2 = a^2 at two distinct points A and B. Equation of the circle having minimum radius that can be drawn through the points A and B is: