Find the equation of tangent and normal to the curve `x^3+x^2+3xy+y^2=6` at the point `(1,1).`

Find the equation of tangent and normal to the curve y =3x^(2) -x +1 at the point (1,3) on it.

Find the equations of tangent and normal to the curve y=x^(2)+3x-2 at the point (1, 2). .

(i) Find the equation of tangent to curve y=3x^(2) +4x +5 at (0,5) (ii) Find the equation of tangent and normal to the curve x^(2) +3xy+y^(2) =5 at point (1,1) on it (iii) Find the equation of tangent and normal to the curve x=(2at^(2))/(1+t^(2)) ,y=(2at^(2))/(1+t^(2)) at the point for which t =(1)/(2) (iv) Find the equation of tangent to the curve ={underset(0" "x=0)(x^(2) sin 1//x)" "underset(x=0)(xne0)" at "(0,0)

Find the equations of tangent and normal to the curve y=x^(2) - 2x -3 at the point (2, 3)

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

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

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

Find the equations of tangent and normal to the curve 2x^(2)-xy+3y^(2)=18at(3,1)

Find the equation of the tangent and normal to the curve y = x^(3) at (1,1)