The image of the centre of a circle `(x-2)^2+(y-1)^2=9` w.r.t. the line `y=x` moves `sqrt2` units along (N - E) direction then the co-ordinates of the centre in the new position is

The image of the centre of the circle x^(2)+y^(2)=a^(2) with respect to the mirror x+y=1 is

The image of the centre of the circle x^(2)+y^(2)=a^(2) with respect to the mirror x+y=1 is

Write the co-ordinates of the centre of the circle : 2x^2 + 2y^2-6x+8y-4=0 .

The centre and radius of the circle (x+ 2)^(2) + (y+4)^(2) = 9 are

The centre and radius of the circle (x+ 2)^(2) + (y+4)^(2) = 9 are

If the circle x^(2) + y^(2) -4x - 8y + 16 =0 rolls up the tangent to it at (2 + sqrt(3), 3) by 2 units (assumes x-axis as horizontal), then the centre of the circle in the new position is

If the circle x^(2) + y^(2) -4x - 8y + 16 =0 rolls up the tangent to it at (2 + sqrt(3), 3) by 2 units (assumes x-axis as horizontal), then the centre of the circle in the new position is

A circle of radius 2 units touches the co ordinate axes in the first quadrant. If the circle makes a complete rotation on the x-axis along the positive direction of the x-axis, then the equation of the circle in the new position is

A circle of radius 2 units touches the co ordinate axes in the first quadrant.If the circle makes a complete rotation on the x-axis along the positive direction of the x-axis,then the equation of the circle in the new position is

Find the locus of the centre of the circle touching the line x+2y=0a n d x=2y