the no. of possible integral values of m for which the circle ` x^2+y^2=4 and x^2+y^2-6x-8y+m^2=0` has exactly two common tangents are

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=

The range of values of lambda for which the circles x^(2)+y^(2)=4 and x^(2)+y^(2)-4lambda x + 9 = 0 have two common tangents, is

The range of values of lambda for which the circles x^(2)+y^(2)=4 and x^(2)+y^(2)-4lambda x + 9 = 0 have two common tangents, is

Find the number of common tangents to the circle x^2 +y^2=4 and x^2+y^2−6x−8y−24=0

Find the coordinates of the point at which the circles x^2+y^2-4x-2y+4=0 and x^2+y^2-12 x-8y+36=0 touch each other. Also, find equations of common tangents touching the circles the distinct points.

Common chord of the circles x^2+y^2-4x-6y+9=0, x^2+y^2-6x-4y+4=0 is

If the circles x^(2)+y^(2)=a^(2), x^(2)+y^(2)-6x-8y+9=0 touch externally then a=

If the circles x^(2) +y^(2) = a and x^(2) + y^(2) - 6x - 8y + 9 = 0 touch externally then a =

The length of the common chord of the two circles x^2+y^2-4y=0 and x^2+y^2-8x-4y+11=0 is

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is