If the lengths of the tangents drawn from P to the circles `x^(2)+y^(2)-2x+4y-20=0 and x^(2) +y^(2)-2x-8y+1=0` are in the ratio 2:1, then the locus P is

If a point P is moving such that the lengths of tangents drawn from P to the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+18y+26=0 are the ratio 2:3, then find the equation to the locus of P.

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 the length of the tangent from (1,2) to the circle x^(2)+y^2+x+y-4=0 and 3x^(2)+3y^(2)-x+y+lambda=0 are in the ratio 4:3 then lambda=

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 length of the tangent from (0, 0) to the circle 2(x^(2)+y^(2))+x-y+5=0 , is

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

If a point P is moving such that the lengths of the tangents drawn form P to the circles x^(2) + y^(2) + 8x + 12y + 15 = 0 and x^(2) + y^(2) - 4 x - 6y - 12 = 0 are equal then find the equation of the locus of P

The length of the tangent to the circle x^(2)+y^(2)-2x-y-7=0 from (-1, -3), is

The square of the length of tangent from (2,- 3) on the circle x^(2)+y^(2)-2x-4y-4=0 is :

The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y-12=0 to the circle x^(2)+y^(2)+4x-6y+4=0 is