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

The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + y^2 + x = 0 are

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.

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.

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 number of common tangents to the circles x^(2) + y^(2) = 4 and x^(2) +y^(2) - 6x - 8y -24 =0 is,

The number of common tangents to the circles x^2+y^2=4 and x^2+y^2-6x-8y-24=0 is