If the squares of the lengths of the tangents from a point `P` to the circles `x^(2)+y^(2)=a^(2)`,`x^(2)+y^(2)=b^(2)`,`x^(2)+y^(2)=c^(2)` are in A.P then `a^(2),b^(2),c^(2)` are in

If the squares of the lengths of the tangents from a point P to the circles x^2 +y^2 = a^2, x^2 + y^2=b^2 and x^2 + y^2 = c^2 are in A.P., then a) a,bc,are in AP(b) a,b,c are in GP (c) a^2,b^2,c^2 are in AP (d) a^2,b^2,c^2 are in GP

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 common chord of the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2) , is

If the lengths of the tangents drawn from a point P to the three circles x^(2)+y^(2)-4=0, x^(2)+y^(2)-2x+3y=0 and x^(2)+y^(2)+7y-18=0 are equal then the co-ordinates of P are

The locus of the point of intersection of perpendicular tangents to the circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) , is