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 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-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

The locus of the point from which the length of the tangent to the circle x^(2)+y^(2)-2x-4y+4=0 is 3 units is

The locus of a point which moves such that the tangents from it to the two circles x^(2)+y^(2)-5x-3=0 and 3x^(2)+3y^(2)+2x+4y-6=0 are equal, is given by

Find the point of contact of the tangent x+y-7=0 to the circle x^2+y^2-4x-6y+11=0