If the line `y=sqrt(3)+k` touches the circle `x^2+y^2=16 ,` then find the value of `kdot`

If the line y=sqrt(3)x+k touches the circle x^(2)+y^(2)=16, then find the value of k

chord of contact of the tangents drawn from a point on the circle x^(2)+y^(2)=81 to the circle x^(2)+y^(2)=b^(2) touches the circle x^(2)+y^(2)=16 , then the value of b is

If the line hx+ky=(1)/(a) touches the circle x^(2)+y^(2)=a^(2) then the locus of (h,k) is circle of radius

Show that the line y= x + sqrt(5/6 touches the ellipse 2x^2 + 3y^2 = 1 . Find the coordinates of the point of contact.

If the line y=x+sqrt(3) touches the ellipse (x^(2))/(4)+(y^(2))/(1)=1 then the point of contact is

If the line x+y=a touches the parabola y=x-x^(2), then find the value of a.

If the line y=x+k touches the ellipse 9x^(2)+16y^(2)=144 ,then the absolute difference of the values of k is

A straight line x=y+2 touches the circle 4(x^(2)+y^(2))=r^(2), The value of r is:

The centre of the circle (x-a)^(2)+(y-3)^(2)=9 lies on the straight line x=y and the circle touches the circle x^(2)+y^(2)=1 externally.What are the values of alpha,beta?