Find the equation of normal to the hyperbola `3x^2-y^2=1` having slope `1/3dot`

The equation of the normal to the parabola y^(2)=8 x having slope 1 is

Find the equation of the normal to the hyperbola 3x^(2)-4y^(2)=12 at the point (x_(1),y_(1)) on it. Hence, show that the straight line x+y+7=0 is a normal to the hyperbola. Find the coordinates of the foot of the normal.

Find the equation of the tangent to the parabola x=y^2+3y+2 having slope 1.

Find the equation of the tangent to the parabola x=y^2+3y+2 having slope 1.

Find the equation of the tangent to the parabola x=y^2+3y+2 having slope 1.

Find the equation of the tangent to the parabola x=y^2+3y+2 having slope 1.

Find the equations of,normals to the hyperbola 3x^(2)-2y^(2)=10 at points where the line x+y+3=0 cuts the curve.

Find the equation of normal to the hyperbola 4x^(2)-9y^(2)=36 , at the point (1,2)

Find the equation of tangent and normal to the hyperbola x^2-6y^2=3 at the point (-3, -1).

Find the equation of tangents to hyperbola x^(2)-y^(2)-4x-2y=0 having slope 2.