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

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

If P(2,8) is an interior point of the circle x^2+y^2-2x+4y-p=0 , which neither touches nor intersects the axes, then set of value of p, 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=

Show that the circle x^(2) + y^(2) + 4(x+y) + 4 = 0 touches the coordinates axes. Also find the equation of the circle which passes through the common points of intersection of the above circle and the straight line x+y+2 = 0 and which also passes through the origin.

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 tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at Aa n dB . Then find the locus of the midpoint of A Bdot

The tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at A and B . Then find the locus of the midpoint of A Bdot