Find the locus of a point which moves so that the ratio of the lengths of the tangents to the circles `x^2+y^2+4x+3=0` and `x^2+y^2-6x+5=0` is `2: 3.`

The locus of a point which moves so that the ratio of the length of the tangents to the circles x^(2)+ y^(2)+ 4x+3 =0 and x^(2)+ y^(2) -6x +5=0 is 2 : 3 is a) 5x^(2) +5y^(2) - 60x +7=0 b) 5x^(2) +5y^(2) +60x -7=0 c) 5x^(2) +5y^(2) -60x -7=0 d) 5x^(2) +5y^(2) +60x +7=0

The lengths of the common tangents of the circles x^(2)+y^(2)+4x=0 and x^(2)+y^(2)-6x=0 is

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

The length of the tangent from (5, 1) to the circle x^2+y^2+6x-4y-3=0 is :

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 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-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 .