Find the equations of the tangents to the ellipse `3x^(2)+4y^(2)=12` which are perpendicular to the line `y+2x=4`.

Find the equation of the tagent to the hyperbola x^(2)-4y^(2)=36 which is perpendicular to the line x-y+4=0 .

The tangents to hyperbola 3 x^(2)-y^(2)=3 which are perpendicular to the line x+3 y=2 are

Find the equation of the tangent line to the curve y = x^(2) - 2x + 7 which is (b) perpendicular to the line 5y - 15x = 13 .

Find the equations of directrices of the ellipse 25x^2+4y^2=100 .

The length of the latus rectum of the ellipse 3 x^(2)+4y^(2)=12 is

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

Find the equation of tangent to the hyperbola 16x^(2)-25y^(2)=400 perpendicular to the line x-3y=4.

Find the equation of tangents to the curve 4x^2-9y^2=1 which are parallel to 4y=5x+7.

The equation of the tangent to the parabola (y-2)^(2)=8(x+1), which is parallel to the line y=2 x-3 is

The equations of the directrices of the ellipse 3 x^(2)+4 y^(2)+6 x-8 y-5=0 are