The slope of tangent to the ellipse `x^2+4y^2=4` at the point `(2costheta,sintheta)` is `sqrt2`; Find the equation of the tangent

The slope of tangent to the ellipse x^(2)+4y^(2)=4 at the point (2 cos theta, sin theta) "is" sqrt(2) , find the equation of the tangent.

The equations of the tangents to the ellipse x^(2)+4 y^(2)=25 at the point whose ordinate is 2 is

The slope to the tangent to the parabola 3y^(2)=8x at the point ((2)/(3)t^(2),(4)/(3)t) "is" (-2) , find the equation of the tangent.

If the slope of the tangent to the curve x^(2)-2xy+4y=0 at the point it is (-3)/(2) then find the equation of that point.

If the slope of the tangent line to the curve y= (6)/(x^(2) - 4x + 6 ) at some point on it is zero, then the equation of the tangent is-

The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2), 2at) is -

Find the equation of the tangent to the ellipse x^2+4y^2=100 at (8,3).

Equation of pair of tangents to the ellipse 9x^(2)+25y^(2)=225 from a point (4,2) is