Show that the equation of the normal to the ellipse `x^2/a^2+y^2/b^2=1` at the positive end of latus rectum is `x-ey-e^3a=0`

Show that the equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the positive end of latus rectum is x-ey-e^(3)a=0

The equation of the tangent to the ellipse 9x^(2)+16y^(2)=144 at the positive end of the latusrectum is

The equation of the normal to the ellipse x^(2)/4+y^(2)/1=1 at (2, -1) is

Find the equation of the normal to the hyperbola x^(2)-3y^(2)=144 at the positive end of the latus rectum.

The equations of the tangents to the ellipse 9x^(2)+16y^(2)=144 at the ends of the latus rectum are

Find equation of the tangent and normal to the parablola y^(2)=6x at the positive end of the latus rectum.

Find the equations of the tangent and normal to the parabola y^(2) =6x at the positive end of the latus rectum

Find the equations of tangent and normal to the ellipse 2x^2+3y^2=11 at the point whose ordinate is 1.

The equations of the tangents to the hyperbola 9x^(2) -16y^(2) =144 at the ends of latus rectum are