The range of values of k in R so that th...

The range of values of k in R so that the circles `(x-k)^(2)+y^(2)=(k^(2))/(2)`, `x^(2)+(y-k)^(2)=k^(2)+k` will have exactly 4 common tangents is given by

Similar Questions

Explore conceptually related problems

The number of real values of k for which the lines (x)/(1)=(y-1)/(k)=(z)/(-1) and (x-k)/(2k)=(y-k)/(3k-1)=(z-2)/(k) are coplanar, is

The value of K .If the circles x^(2)+y^(2)+2by-k=0,x^(2)+y^(2)+2ax+8=0 are orthogonal

The line 3x-2y=k meets the circle x^(2)+y^(2)=4r^(2) at only one point, if k^(2)=

Find k , if the line y = 2x + k touches the circle x^(2) + y^(2) - 4x - 2y =0

Find the value of k, if (x+2) exactly divides x^(3)+6x^(2)+4x+k .

If number of common tangents of the circle x^(2)+y^(2)+2x+6y+1-0 and x^(2)+y^(2)-6x+k=0 is three,then value of k is

The tangents to the circle x^(2)+y^(2)-4x+2y+k=0 at (1,1) is x-2y+1=0 then k=

If line 4x + 3y + k = 0 " touches circle " 2x^(2) + 2y^(2) = 5x , then k =

Show tht the curves x^2/(a^2+k_1)+y^2/(b^2+k_1)=1 and x^2/(a^2+k_2)+y^2/(b^2+k_2)=1 intersect