The locus of the centre of a circle which touches externally the circle `x^(2)+y^(2)-6x-6y+14=0` and also touches the y-axis is given by the equation.

The locus of the centre of a circle which touches externally the circle x^(2)+y^(2)-6 x-6 y+14=0 and also touches the y -axis is given by the equation

The locus of the centre of the circle which touches externally the circle x^(2)+y^(2)-6x-6y+14=0 and also touches the x-axis is given by the equation

The locus of the centre of a circle which touches externally the circle x^(2)+y^(2)-6x-6y+14=0 and also touches Y-axis,is given by the equation (a) x2-6x-10y+14=0 (b) x2-10x-6y+14=0 (c) yr 6x-10y+14-0 (d) y,2-10x-6y+14=0

The locus of the centre of a circle which touches externally the circle x^2 + y^2-6x-6y+14 = 0 and also touches Y-axis, is given by the equation (a) x^2-6x-10y+14 = 0 (b) x^2-10x-6y + 14 = 0 (c) y^ 2-6x-10y+14-0 (d) y^2-10x-6y + 14 = 0

The locus of the centre of a circle which touches externally the circle x^2 + y^2-6x-6y+14 = 0 and also touches Y-axis, is given by the equation (a) x^2-6x-10y+14 = 0 (b) x^2-10x-6y + 14 = 0 (c) y^2+6x-10y+14-0 (d) y^2-10x-6y + 14 = 0

The locus of the centre of a circle which touches externally the circle x^2 + y^2-6x-6y+14 = 0 and also touches Y-axis, is given by the equation (a) x2-6x-10y+14 = 0 (b) x2-10x-6y + 14 = 0 (c) yr_6x-10y+14-0 (d) y,2-10x-6y + 14 = 0

Select the correct option from the given alternatives.The locus of the centre of the circle which touches the circle x^2+y^2-6x-6y+14=0 externally and also touches Y-axis,is