The centre of the circle passing through (0, 0) and (1, 0) and touching the circle `x^(2)+y^(2)=9`, is

Show that the centre of the circle passing through the points (0,0) and (1,0) and touching the circle x^(2)+y^(2)=9 is (1/2,+-sqrt(2))

The centre of a circle passing through the points (0,0),(1,0) and touching the circle x^(2)+y^(2)=9 is

The centre of a circle passing through the points (0, 0), (1, 0) and touching the circle x^(2)+y^(2)=9 , is

The centre of the circle passing through the points (0,0), (1,0) and touching the circle x^2+y^2=9 is

The centre of the circle passing through the points (0,0), (1,0) and touching the circle x^2+y^2=9 is

The centre of a circle passing through (0,0),(1,0) and touching the Circle x^(2)+y^(2)=9 is a a ((1)/(2),sqrt(2)) b.((1)/(2),(3)/(sqrt(2))) c.((3)/(2),(1)/(sqrt(2))) d.((1)/(2),-(1)/(sqrt(2)))

Statement-1: The centre of the circle passing through the points (0, 0), (1, 0) and touching the circle C : x^(2)+y^(2)=9 lies inside the circle. Statement-2: If a circle C_(1) passes through the centre of the circle C_(2) and also touches the circle, the radius of the circle C_(2) is twice the radius of circle C_(1)