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

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

The center(s) of the circle(s) passing through the points (0, 0) and (1, 0) and touching the circle x^2+y^2=9 is (are) (3/2,1/2) (b) (1/2,3/2) (1/2,2^(1/2)) (d) (1/2,-2^(1/2))

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)

The centre of a circle passing through (0,0), (1,0) and touching the CircIe x^2+y^2=9 is a. (1/2,sqrt2) b. (1/2,3/sqrt2) c. (3/2,1/sqrt2) d. (1/2,-1/sqrt2) .

Find the centre of the circle passing through the points (0,0), (2,0) and (0, 2) .

A circle passes through (0,0) and (1, 0) and touches the circle x^2 + y^2 = 9 then the centre of circle is -

If radii of the smallest and the largest circle passing through ( sqrt( 3) ,sqrt(2)) and touching the circle x^(2) +y^(2) - 2 sqrt( 2)y -2=0 are r_(1) and r_(2) respectively, then find the mean of r_(1) and r_(2) .

Find the equation of the circle passing through (-1,0) and touching x+ y-7 = 0 at (3,4)

Equation of circle passing through (-1,-2) and concentric with the circle x^(2)+y^(2)+3x+4y+1=0

The locus of the centre of the circle passing through the intersection of the circles x^2+y^2= 1 and x^2 + y^2-2x+y=0 is