If the variable line `y=k x+2h` is tangent to an ellipse `2x^2+3y^2=6,` then the locus of `P(h ,k)` is a conic `C` whose eccentricity is `3.` Then the value of `3e^2` is___________

If the variable line y=kx+2h is tangent to an ellipse 2x^(2)+3y^(2)=6, then the locus of P(h,k) is a conic C whose eccentricity is 3 . Then the value of 3e^(2) is

If the variable line y=k x+2h is tangent to an ellipse 2x^2+3y^2=6, then the locus of P(h ,k) is a conic C whose eccentricity is e. Then the value of 3e^2 is___________

If the variable line y=kx+2h is tangent to an ellipse 2x^(2)+3y^(2)=6 then locus of P(h,k) is a conic C whose eccentricity is e then the value of 3e^(2) is

If a variable line y=kx+2h is tangent to an ellipse 2x^(2)+3y^(2)=6 , then locus of P(h,k) is a conic C whose eccentricity = sqrt((a)/(b)) (where a and b are coprime natural number).Then the value of (a)/(b)

Find the value of k if 4x+y+k=0 is a tangent to the ellipse x^2+3y^2=3 .

The line y=2x+k is a tangent to the ellipse 5x^2+y^2=5 if k =_____.

If 4x+y+k=0 is a tangent to the ellipse x^(2)+3y^(2)=3 then k = ?

In the line 3x-y= k is a tangent to the hyperbola 3x^(2) -y^(2) =3 ,then k =

In the line 3x-y= k is a tangent to the hyperbola 3x^(2) -y^(2) =3 ,then k =