[" For how many values of "p," the circle "],[x^(2)+y^(2)+2x+4y-p=0" and the coordinate axes have "],[" exactly three common points? "]

A tangent to the circle x^(2)+y^(2)=4 meets the coordinate axes at P and Q. The locus of midpoint of PQ is

lf the circle x^(2)+y^(2)=2 and x^(2)+y^(2)-4x-4y+lamda=0 have exactly three real common tangents then lamda=

Ilf the circle x^(2)+y^(2)=2 and x^(2)+y^(2)_4x-4y+lamda=0 have exactly three real common tangents then lamda=

If a point (1,4) lies inside the circle x^(2) +y^(2) - 6x -10 y +p=0 and the circle does not touch or intersect the coordinate axes , then the set of all possible values of p is the interval.

If the cirles x^(2)+y^(2)=2 and x^(2)+y^(2)-4x-4y+lambda=0 have exactly three real common tangents then lambda=

The line y=x+asqrt2 touches the circle x^2+y^2=a^2 at P. The coordinate of P are

Two tangents are drawn from a point P to the circle x^(2)+y^(2)+2gx+2fy+c=0 . If these tangents cut the coordinate axes in concyclic points show hat the locus of P is (x+y+g+f)(x-y+g-f)=0

Two tangents are drawn from a point P to the circle x^(2)+y^(2)+2gx+2fy+c=0 . If these tangents cut the coordinate axes in concyclic points show hat the locus of P is (x+y+g+f)(x-y+g-f)=0

Find the equation of tangents to circle x^(2)+y^(2)-2x+4y-4=0 drawn from point P(2,3).