A point P moves such that the lengths of the tangents from it to the circles and `x^2+y^2 = b^2` are inversely proportional to their radii. The locus of P is a circle of radius.

The locus of the point which is such that the lengths of the tangents from it to the circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) are inversely as their radii is

Find the locus of a point which is such that the length of tangents from it to two concencencentric circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) vary inversely as their radii.

If P is a point such that the ratio of the squares of the lengths of the tangents from P to the circles x^2+y^2+2x-4y-20=0 and x^2+y^2-4x+2y-44=0 is 2:3 , then the locus of P is a circle with centre

If P is a point such that the ratio of the squares of the lengths of the tangents from P to the circles x^(2)+y^(2)+2x-2y-20=0 and x^(2)+y^(2)-4x+2y-44=0 is 2:3, then the locus of P is a circle with centre

If P is a point such that the ratio of the squares of the lengths of the tangents from P to the circles x^(2)+y^(2)+2x-2y-20=0 and x^(2)+y^(2)-4x+2y-44=0 is 2:3, then the locus of P is a circle with centre

If P is a point such that the ratio of the squares of rthe lengths of the tangents from P to the circels x ^(2) +y^(@) -4x +2y -44 =0 and x ^(2) +y^(2) +2x -4y -20 =0 is 3:2, then the locus of P is a circle with centre at-

If P is a point such that the ratio of the squares of the lengths of the tangents from P to the circles x^(2)+y^(2)+2x-4y-20=0 and x^(2)+y^(2)-4x+2y-44=0 is 2:3, then the locus of P is a circle with centre .