A common tangent to the circles `x^(2)+y^(2)=4` and `(x-3)^(2)+y^(2)=1`, is

A common tangent to the circle x^2 +y^2=4 and (x-3)^2+y^2=1 is

The number of common tangents to the circles x^(2)+y^(2)-y=0 and x^(2)+y^(2)+y=0 is

The number of common tangents to the circles x^(2)+y^(2)-x=0 and x^(2)+y^(2)+x=0 , is

The number of common tangents to the circles x^(2)+y^(2)-y=0and x^(2)+y^(2)+y=0 is

Statement 1 : The number of common tangents to the circles x^(2) +y^(2) -x =0 and x^(2) +y^(2) +x =0 is 3. Statement 2 : If two circles touch each other externally then it has two direct common tangents and one indirect common tangent.

Statement 1 : The number of common tangents to the circles x^(2) +y^(2) -x =0 and x^(2) +y^(2) +x =0 is 3. Statement 2 : If two circles touch each other externally then it has two direct common tangents and one indirect common tangent.

Statement 1 : The number of common tangents to the circles x^(2) + y^(2) =4 and x^(2) + y^(2) -6x - 6y = 24 is 3. Statement 2 : If two circles touch each other externally thenit has two direct common tangents and one indirect common tangent.