If the circle `x^2+y^2-4x-6y+lambda=0` touches the axis of x , then determine the value of `lambda` and the point of contact

The circle x^2 + y^2 - 4x + 6y + c = 0 touches x axis if

If the area of the circle 4x^(2) + 4y^(2) + 8x - 16y + lambda = 0 is 9 pi sq units, then the value of lambda is

Prove that the circle x^2 + y^2 -6y + 4 = 0 and the parabola y^(2) = x touch. Find the common tangent at the point of contact.

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is

The circle x^(2)+y^(2)+4 lambda x=0 which lambda in R touches the parabola y^(2)=8x The value of lambda is given by

If the line y=3 x+lambda touches the hyperbola 9 x^(2)-5 y^(2)=45, then a value of lambda is